F(x)=2x^4-2x^3+5x^2-5x

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Solution for F(x)=2x^4-2x^3+5x^2-5x equation: 


Simplifying
F(x) = 2x4 + -2x3 + 5x2 + -5x

Multiply F * x
xF = 2x4 + -2x3 + 5x2 + -5x

Reorder the terms:
xF = -5x + 5x2 + -2x3 + 2x4

Solving
xF = -5x + 5x2 + -2x3 + 2x4

Solving for variable 'x'.

Reorder the terms:
5x + xF + -5x2 + 2x3 + -2x4 = -5x + 5x2 + -2x3 + 2x4 + 5x + -5x2 + 2x3 + -2x4

Reorder the terms:
5x + xF + -5x2 + 2x3 + -2x4 = -5x + 5x + 5x2 + -5x2 + -2x3 + 2x3 + 2x4 + -2x4

Combine like terms: -5x + 5x = 0
5x + xF + -5x2 + 2x3 + -2x4 = 0 + 5x2 + -5x2 + -2x3 + 2x3 + 2x4 + -2x4
5x + xF + -5x2 + 2x3 + -2x4 = 5x2 + -5x2 + -2x3 + 2x3 + 2x4 + -2x4

Combine like terms: 5x2 + -5x2 = 0
5x + xF + -5x2 + 2x3 + -2x4 = 0 + -2x3 + 2x3 + 2x4 + -2x4
5x + xF + -5x2 + 2x3 + -2x4 = -2x3 + 2x3 + 2x4 + -2x4

Combine like terms: -2x3 + 2x3 = 0
5x + xF + -5x2 + 2x3 + -2x4 = 0 + 2x4 + -2x4
5x + xF + -5x2 + 2x3 + -2x4 = 2x4 + -2x4

Combine like terms: 2x4 + -2x4 = 0
5x + xF + -5x2 + 2x3 + -2x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(5 + F + -5x + 2x2 + -2x3) = 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 '(5 + F + -5x + 2x2 + -2x3)' equal to zero and attempt to solve:

Simplifying
5 + F + -5x + 2x2 + -2x3 = 0

Solving
5 + F + -5x + 2x2 + -2x3 = 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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