If all the terms are positive then it is: (2p+3)(p+1)
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Since 5p is a factor of 20p, it is automatically the GCF.
2p + 11p + 5 = 13p + 5 which does not factor. If the expression had been 2p2 + 11p + 5 then this can be factored, 2p2 + 11p + 5 = (2p + 1)(p + 5)
5p - 3 = 15Add 3 to each side:5p = 18Divide each side by 5:p = 18/5 = 3.6
It can be done in 162 ways, viz: 1 × 20p, 1 × 10p, 1 × 5p 1 × 20p, 1 × 10p, 2 × 2p, 1 × 1p 1 × 20p, 1 × 10p, 1 × 2p, 3 × 1p 1 × 20p, 1 × 10p, 5 × 1p 1 × 20p, 3 × 5p 1 × 20p, 2 × 5p, 2 × 2p, 1 × 1p 1 × 20p, 2 × 5p, 1 × 2p, 3 × 1p 1 × 20p, 2 × 5p, 5 × 1p 1 × 20p, 1 × 5p, 5 × 2p 1 × 20p, 1 × 5p, 4 × 2p, 2 × 1p 1 × 20p, 1 × 5p, 3 × 2p, 4 × 1p 1 × 20p, 1 × 5p, 2 × 2p, 6 × 1p 1 × 20p, 1 × 5p, 1 × 2p, 8 × 1p 1 × 20p, 1 × 5p, 10 × 1p 1 × 20p, 7 × 2p, 1 × 1p 1 × 20p, 6 × 2p, 3 × 1p 1 × 20p, 5 × 2p, 5 × 1p 1 × 20p, 4 × 2p, 7 × 1p 1 × 20p, 3 × 2p, 9 × 1p 1 × 20p, 2 × 2p, 11 × 1p 1 × 20p, 1 × 2p, 13 × 1p 1 × 20p, 15 × 1p 3 × 10p, 1 × 5p 3 × 10p, 2 × 2p, 1 × 1p 3 × 10p, 1 × 2p, 3 × 1p 3 × 10p, 5 × 1p 2 × 10p, 3 × 5p 2 × 10p, 2 × 5p, 2 × 2p, 1 × 1p 2 × 10p, 2 × 5p, 1 × 2p, 3 × 1p 2 × 10p, 2 × 5p, 5 × 1p 2 × 10p, 1 × 5p, 5 × 2p 2 × 10p, 1 × 5p, 4 × 2p, 2 × 1p 2 × 10p, 1 × 5p, 3 × 2p, 4 × 1p 2 × 10p, 1 × 5p, 2 × 2p, 6 × 1p 2 × 10p, 1 × 5p, 1 × 2p, 8 × 1p 2 × 10p, 1 × 5p, 10 × 1p 2 × 10p, 7 × 2p, 1 × 1p 2 × 10p, 6 × 2p, 3 × 1p 2 × 10p, 5 × 2p, 5 × 1p 2 × 10p, 4 × 2p, 7 × 1p 2 × 10p, 3 × 2p, 9 × 1p 2 × 10p, 2 × 2p, 11 × 1p 2 × 10p, 1 × 2p, 13 × 1p 2 × 10p, 15 × 1p 1 × 10p, 5 × 5p 1 × 10p, 4 × 5p, 2 × 2p, 1 × 1p 1 × 10p, 4 × 5p, 1 × 2p, 3 × 1p 1 × 10p, 4 × 5p, 5 × 1p 1 × 10p, 3 × 5p, 5 × 2p 1 × 10p, 3 × 5p, 4 × 2p, 2 × 1p 1 × 10p, 3 × 5p, 3 × 2p, 4 × 1p 1 × 10p, 3 × 5p, 2 × 2p, 6 × 1p 1 × 10p, 3 × 5p, 1 × 2p, 8 × 1p 1 × 10p, 3 × 5p, 10 × 1p 1 × 10p, 2 × 5p, 7 × 2p, 1 × 1p 1 × 10p, 2 × 5p, 6 × 2p, 3 × 1p 1 × 10p, 2 × 5p, 5 × 2p, 5 × 1p 1 × 10p, 2 × 5p, 4 × 2p, 7 × 1p 1 × 10p, 2 × 5p, 3 × 2p, 9 × 1p 1 × 10p, 2 × 5p, 2 × 2p, 11 × 1p 1 × 10p, 2 × 5p, 1 × 2p, 13 × 1p 1 × 10p, 2 × 5p, 15 × 1p 1 × 10p, 1 × 5p, 10 × 2p 1 × 10p, 1 × 5p, 9 × 2p, 2 × 1p 1 × 10p, 1 × 5p, 8 × 2p, 4 × 1p 1 × 10p, 1 × 5p, 7 × 2p, 6 × 1p 1 × 10p, 1 × 5p, 6 × 2p, 8 × 1p 1 × 10p, 1 × 5p, 5 × 2p, 10 × 1p 1 × 10p, 1 × 5p, 4 × 2p, 12 × 1p 1 × 10p, 1 × 5p, 3 × 2p, 14 × 1p 1 × 10p, 1 × 5p, 2 × 2p, 16 × 1p 1 × 10p, 1 × 5p, 1 × 2p, 18 × 1p 1 × 10p, 1 × 5p, 20 × 1p 1 × 10p, 12 × 2p, 1 × 1p 1 × 10p, 11 × 2p, 3 × 1p 1 × 10p, 10 × 2p, 5 × 1p 1 × 10p, 9 × 2p, 7 × 1p 1 × 10p, 8 × 2p, 9 × 1p 1 × 10p, 7 × 2p, 11 × 1p 1 × 10p, 6 × 2p, 13 × 1p 1 × 10p, 5 × 2p, 15 × 1p 1 × 10p, 4 × 2p, 17 × 1p 1 × 10p, 3 × 2p, 19 × 1p 1 × 10p, 2 × 2p, 21 × 1p 1 × 10p, 1 × 2p, 23 × 1p 1 × 10p, 25 × 1p 7 × 5p 6 × 5p, 2 × 2p, 1 × 1p 6 × 5p, 1 × 2p, 3 × 1p 6 × 5p, 5 × 1p 5 × 5p, 5 × 2p 5 × 5p, 4 × 2p, 2 × 1p 5 × 5p, 3 × 2p, 4 × 1p 5 × 5p, 2 × 2p, 6 × 1p 5 × 5p, 1 × 2p, 8 × 1p 5 × 5p, 10 × 1p 4 × 5p, 7 × 2p, 1 × 1p 4 × 5p, 6 × 2p, 3 × 1p 4 × 5p, 5 × 2p, 5 × 1p 4 × 5p, 4 × 2p, 7 × 1p 4 × 5p, 3 × 2p, 9 × 1p 4 × 5p, 2 × 2p, 11 × 1p 4 × 5p, 1 × 2p, 13 × 1p 4 × 5p, 15 × 1p 3 × 5p, 10 × 2p 3 × 5p, 9 × 2p, 2 × 1p 3 × 5p, 8 × 2p, 4 × 1p 3 × 5p, 7 × 2p, 6 × 1p 3 × 5p, 6 × 2p, 8 × 1p 3 × 5p, 5 × 2p, 10 × 1p 3 × 5p, 4 × 2p, 12 × 1p 3 × 5p, 3 × 2p, 14 × 1p 3 × 5p, 2 × 2p, 16 × 1p 3 × 5p, 1 × 2p, 18 × 1p 3 × 5p, 20 × 1p 2 × 5p, 12 × 2p, 1 × 1p 2 × 5p, 11 × 2p, 3 × 1p 2 × 5p, 10 × 2p, 5 × 1p 2 × 5p, 9 × 2p, 7 × 1p 2 × 5p, 8 × 2p, 9 × 1p 2 × 5p, 7 × 2p, 11 × 1p 2 × 5p, 6 × 2p, 13 × 1p 2 × 5p, 5 × 2p, 15 × 1p 2 × 5p, 4 × 2p, 17 × 1p 2 × 5p, 3 × 2p, 19 × 1p 2 × 5p, 2 × 2p, 21 × 1p 2 × 5p, 1 × 2p, 23 × 1p 2 × 5p, 25 × 1p 1 × 5p, 15 × 2p 1 × 5p, 14 × 2p, 2 × 1p 1 × 5p, 13 × 2p, 4 × 1p 1 × 5p, 12 × 2p, 6 × 1p 1 × 5p, 11 × 2p, 8 × 1p 1 × 5p, 10 × 2p, 10 × 1p 1 × 5p, 9 × 2p, 12 × 1p 1 × 5p, 8 × 2p, 14 × 1p 1 × 5p, 7 × 2p, 16 × 1p 1 × 5p, 6 × 2p, 18 × 1p 1 × 5p, 5 × 2p, 20 × 1p 1 × 5p, 4 × 2p, 22 × 1p 1 × 5p, 3 × 2p, 24 × 1p 1 × 5p, 2 × 2p, 26 × 1p 1 × 5p, 1 × 2p, 28 × 1p 1 × 5p, 30 × 1p 17 × 2p, 1 × 1p 16 × 2p, 3 × 1p 15 × 2p, 5 × 1p 14 × 2p, 7 × 1p 13 × 2p, 9 × 1p 12 × 2p, 11 × 1p 11 × 2p, 13 × 1p 10 × 2p, 15 × 1p 9 × 2p, 17 × 1p 8 × 2p, 19 × 1p 7 × 2p, 21 × 1p 6 × 2p, 23 × 1p 5 × 2p, 25 × 1p 4 × 2p, 27 × 1p 3 × 2p, 29 × 1p 2 × 2p, 31 × 1p 1 × 2p, 33 × 1p 35 × 1p
-- Add 5p to each side of the equation. -- Add 15 to each side of the equation. -- Look at the equation and find the one last step that will give you " p = a number ", which is the solution.