P(x)=x^5-9x^3

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Solution for P(x)=x^5-9x^3 equation: 


Simplifying
P(x) = x5 + -9x3

Multiply P * x
xP = x5 + -9x3

Reorder the terms:
xP = -9x3 + x5

Solving
xP = -9x3 + x5

Solving for variable 'x'.

Reorder the terms:
xP + 9x3 + -1x5 = -9x3 + 9x3 + x5 + -1x5

Combine like terms: -9x3 + 9x3 = 0
xP + 9x3 + -1x5 = 0 + x5 + -1x5
xP + 9x3 + -1x5 = x5 + -1x5

Combine like terms: x5 + -1x5 = 0
xP + 9x3 + -1x5 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(P + 9x2 + -1x4) = 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 + 9x2 + -1x4)' equal to zero and attempt to solve:

Simplifying
P + 9x2 + -1x4 = 0

Solving
P + 9x2 + -1x4 = 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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