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h(x)=x^3+2x^2-5x-6

 Jan 15, 2016
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Solve for x:
x^3+2 x^2-5 x-6 = 0

The left hand side factors into a product with three terms:
(x-2) (x+1) (x+3) = 0

Split into three equations:
x-2 = 0 or x+1 = 0 or x+3 = 0

Add 2 to both sides:
x = 2 or x+1 = 0 or x+3 = 0

Subtract 1 from both sides:
x = 2 or x = -1 or x+3 = 0

Subtract 3 from both sides:
Answer: | x = 2       or x = -1        or x = -3

 Jan 15, 2016

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