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5x**2-30x-80
1. Remove common term (and ignore til end):
5(x**2-6x-16)
2. Multiply first and third terms
1*-16=-16
3. Factor product of first and third terms
-16, 1
-8, 2
-4, 4
16, -1
8, -2
4. Choose factors whose sum is equal to second term
-8+2=-6
5. Rewrite equation using factors
x**2-8x+2x-16
6. Halve the expression
x**2-8x
2x-16
7. Factor each half
x**2-8x --> x(x-8)
2x-16 --> 2(x-8)
8. Recombine
x(x-8)+2(x-8)
9. Factor out common term:
(x-8)(x+2)
10. Reintroduce part from beginning
5(x-8)(x+2)
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