P(x)=x^3+2x^2-8x

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Solution for P(x)=x^3+2x^2-8x equation:


Simplifying
P(x) = x3 + 2x2 + -8x

Multiply P * x
xP = x3 + 2x2 + -8x

Reorder the terms:
xP = -8x + 2x2 + x3

Solving
xP = -8x + 2x2 + x3

Solving for variable 'x'.

Reorder the terms:
8x + xP + -2x2 + -1x3 = -8x + 2x2 + x3 + 8x + -2x2 + -1x3

Reorder the terms:
8x + xP + -2x2 + -1x3 = -8x + 8x + 2x2 + -2x2 + x3 + -1x3

Combine like terms: -8x + 8x = 0
8x + xP + -2x2 + -1x3 = 0 + 2x2 + -2x2 + x3 + -1x3
8x + xP + -2x2 + -1x3 = 2x2 + -2x2 + x3 + -1x3

Combine like terms: 2x2 + -2x2 = 0
8x + xP + -2x2 + -1x3 = 0 + x3 + -1x3
8x + xP + -2x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
8x + xP + -2x2 + -1x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(8 + P + -2x + -1x2) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(8 + P + -2x + -1x2)' equal to zero and attempt to solve: Simplifying 8 + P + -2x + -1x2 = 0 Solving 8 + P + -2x + -1x2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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