x^4-5x^3=25x^2-125x

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Solution for x^4-5x^3=25x^2-125x equation: 


Simplifying
x4 + -5x3 = 25x2 + -125x

Reorder the terms:
-5x3 + x4 = 25x2 + -125x

Reorder the terms:
-5x3 + x4 = -125x + 25x2

Solving
-5x3 + x4 = -125x + 25x2

Solving for variable 'x'.

Reorder the terms:
125x + -25x2 + -5x3 + x4 = -125x + 25x2 + 125x + -25x2

Reorder the terms:
125x + -25x2 + -5x3 + x4 = -125x + 125x + 25x2 + -25x2

Combine like terms: -125x + 125x = 0
125x + -25x2 + -5x3 + x4 = 0 + 25x2 + -25x2
125x + -25x2 + -5x3 + x4 = 25x2 + -25x2

Combine like terms: 25x2 + -25x2 = 0
125x + -25x2 + -5x3 + x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(125 + -25x + -5x2 + 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 '(125 + -25x + -5x2 + x3)' equal to zero and attempt to solve:

Simplifying
125 + -25x + -5x2 + x3 = 0

Solving
125 + -25x + -5x2 + 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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