4x^5-52x^3+120x=12x^4-36x^2

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Solution for 4x^5-52x^3+120x=12x^4-36x^2 equation: 


Simplifying
4x5 + -52x3 + 120x = 12x4 + -36x2

Reorder the terms:
120x + -52x3 + 4x5 = 12x4 + -36x2

Reorder the terms:
120x + -52x3 + 4x5 = -36x2 + 12x4

Solving
120x + -52x3 + 4x5 = -36x2 + 12x4

Solving for variable 'x'.

Reorder the terms:
120x + 36x2 + -52x3 + -12x4 + 4x5 = -36x2 + 12x4 + 36x2 + -12x4

Reorder the terms:
120x + 36x2 + -52x3 + -12x4 + 4x5 = -36x2 + 36x2 + 12x4 + -12x4

Combine like terms: -36x2 + 36x2 = 0
120x + 36x2 + -52x3 + -12x4 + 4x5 = 0 + 12x4 + -12x4
120x + 36x2 + -52x3 + -12x4 + 4x5 = 12x4 + -12x4

Combine like terms: 12x4 + -12x4 = 0
120x + 36x2 + -52x3 + -12x4 + 4x5 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(30 + 9x + -13x2 + -3x3 + x4) = 0

Ignore the factor 4.

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 '(30 + 9x + -13x2 + -3x3 + x4)' equal to zero and attempt to solve:

Simplifying
30 + 9x + -13x2 + -3x3 + x4 = 0

Solving
30 + 9x + -13x2 + -3x3 + x4 = 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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