(5x^4-2x^2)-(3x-2x^2-4x^3+6x^4)=0

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Solution for (5x^4-2x^2)-(3x-2x^2-4x^3+6x^4)=0 equation: 


Simplifying
(5x4 + -2x2) + -1(3x + -2x2 + -4x3 + 6x4) = 0

Reorder the terms:
(-2x2 + 5x4) + -1(3x + -2x2 + -4x3 + 6x4) = 0

Remove parenthesis around (-2x2 + 5x4)
-2x2 + 5x4 + -1(3x + -2x2 + -4x3 + 6x4) = 0
-2x2 + 5x4 + (3x * -1 + -2x2 * -1 + -4x3 * -1 + 6x4 * -1) = 0
-2x2 + 5x4 + (-3x + 2x2 + 4x3 + -6x4) = 0

Reorder the terms:
-3x + -2x2 + 2x2 + 4x3 + 5x4 + -6x4 = 0

Combine like terms: -2x2 + 2x2 = 0
-3x + 0 + 4x3 + 5x4 + -6x4 = 0
-3x + 4x3 + 5x4 + -6x4 = 0

Combine like terms: 5x4 + -6x4 = -1x4
-3x + 4x3 + -1x4 = 0

Solving
-3x + 4x3 + -1x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-3 + 4x2 + -1x3) = 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 '(-3 + 4x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
-3 + 4x2 + -1x3 = 0

Solving
-3 + 4x2 + -1x3 = 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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