4x^5-12x^4+6x=5x^3-2x

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Solution for 4x^5-12x^4+6x=5x^3-2x equation: 


Simplifying
4x5 + -12x4 + 6x = 5x3 + -2x

Reorder the terms:
6x + -12x4 + 4x5 = 5x3 + -2x

Reorder the terms:
6x + -12x4 + 4x5 = -2x + 5x3

Solving
6x + -12x4 + 4x5 = -2x + 5x3

Solving for variable 'x'.

Reorder the terms:
6x + 2x + -5x3 + -12x4 + 4x5 = -2x + 5x3 + 2x + -5x3

Combine like terms: 6x + 2x = 8x
8x + -5x3 + -12x4 + 4x5 = -2x + 5x3 + 2x + -5x3

Reorder the terms:
8x + -5x3 + -12x4 + 4x5 = -2x + 2x + 5x3 + -5x3

Combine like terms: -2x + 2x = 0
8x + -5x3 + -12x4 + 4x5 = 0 + 5x3 + -5x3
8x + -5x3 + -12x4 + 4x5 = 5x3 + -5x3

Combine like terms: 5x3 + -5x3 = 0
8x + -5x3 + -12x4 + 4x5 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(8 + -5x2 + -12x3 + 4x4) = 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 '(8 + -5x2 + -12x3 + 4x4)' equal to zero and attempt to solve:

Simplifying
8 + -5x2 + -12x3 + 4x4 = 0

Solving
8 + -5x2 + -12x3 + 4x4 = 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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