5x2 + 25x + 30
This expression describes a parabola, and can be factored out as follows:
= 5(x2 + 5x + 6)
= 5(x + 2)(x + 3)
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By splitting the Middle Term, 5X2 + 25X + 4X +20 5X(X+5) + 4(X+5) (5X+4)(X+5)
10x2y2 + 8xy2 - 210y2 = 2y2(5x2 + 4x - 105) = 2y2(5x2 + 25x - 21x - 105) = 2y2(x + 5)(5x - 21).
2x + 3 + 23x = 25x +3
25x + 35x + 9 is 60x + 9, which factors to 3(20x + 3)
25X + 30 = 15X subtract 15X from each side 25X - 15X + 30 = 15X - 15X 10X + 30 = 0 subtract 30 from each side 10X + 30 - 30 = 0 - 30 10X = -30 divide both sides integers by 10 (10/10)X = - 30/10 X = - 3 ----------------check in original equation 25(- 3) + 30 = 15(- 3) - 75 + 30 = - 45 - 45 = - 45 ----------------checks