(x)=5x^4+125x^3-5x^2-125x

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Solution for (x)=5x^4+125x^3-5x^2-125x equation: 


Simplifying
(x) = 5x4 + 125x3 + -5x2 + -125x
x = 5x4 + 125x3 + -5x2 + -125x

Reorder the terms:
x = -125x + -5x2 + 125x3 + 5x4

Solving
x = -125x + -5x2 + 125x3 + 5x4

Solving for variable 'x'.

Combine like terms: x + 125x = 126x
126x + 5x2 + -125x3 + -5x4 = -125x + -5x2 + 125x3 + 5x4 + 125x + 5x2 + -125x3 + -5x4

Reorder the terms:
126x + 5x2 + -125x3 + -5x4 = -125x + 125x + -5x2 + 5x2 + 125x3 + -125x3 + 5x4 + -5x4

Combine like terms: -125x + 125x = 0
126x + 5x2 + -125x3 + -5x4 = 0 + -5x2 + 5x2 + 125x3 + -125x3 + 5x4 + -5x4
126x + 5x2 + -125x3 + -5x4 = -5x2 + 5x2 + 125x3 + -125x3 + 5x4 + -5x4

Combine like terms: -5x2 + 5x2 = 0
126x + 5x2 + -125x3 + -5x4 = 0 + 125x3 + -125x3 + 5x4 + -5x4
126x + 5x2 + -125x3 + -5x4 = 125x3 + -125x3 + 5x4 + -5x4

Combine like terms: 125x3 + -125x3 = 0
126x + 5x2 + -125x3 + -5x4 = 0 + 5x4 + -5x4
126x + 5x2 + -125x3 + -5x4 = 5x4 + -5x4

Combine like terms: 5x4 + -5x4 = 0
126x + 5x2 + -125x3 + -5x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(126 + 5x + -125x2 + -5x3) = 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 '(126 + 5x + -125x2 + -5x3)' equal to zero and attempt to solve:

Simplifying
126 + 5x + -125x2 + -5x3 = 0

Solving
126 + 5x + -125x2 + -5x3 = 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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