P(x)=-x^4-8x^3+9x^2

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Solution for P(x)=-x^4-8x^3+9x^2 equation: 


Simplifying
P(x) = -1x4 + -8x3 + 9x2

Multiply P * x
xP = -1x4 + -8x3 + 9x2

Reorder the terms:
xP = 9x2 + -8x3 + -1x4

Solving
xP = 9x2 + -8x3 + -1x4

Solving for variable 'x'.

Reorder the terms:
xP + -9x2 + 8x3 + x4 = 9x2 + -9x2 + -8x3 + 8x3 + -1x4 + x4

Combine like terms: 9x2 + -9x2 = 0
xP + -9x2 + 8x3 + x4 = 0 + -8x3 + 8x3 + -1x4 + x4
xP + -9x2 + 8x3 + x4 = -8x3 + 8x3 + -1x4 + x4

Combine like terms: -8x3 + 8x3 = 0
xP + -9x2 + 8x3 + x4 = 0 + -1x4 + x4
xP + -9x2 + 8x3 + x4 = -1x4 + x4

Combine like terms: -1x4 + x4 = 0
xP + -9x2 + 8x3 + x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(P + -9x + 8x2 + x3) = 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 '(P + -9x + 8x2 + x3)' equal to zero and attempt to solve:

Simplifying
P + -9x + 8x2 + x3 = 0

Solving
P + -9x + 8x2 + x3 = 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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