(3x^4-3x)-(3x-3x^4)=0

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Solution for (3x^4-3x)-(3x-3x^4)=0 equation:


Simplifying
(3x4 + -3x) + -1(3x + -3x4) = 0

Reorder the terms:
(-3x + 3x4) + -1(3x + -3x4) = 0

Remove parenthesis around (-3x + 3x4)
-3x + 3x4 + -1(3x + -3x4) = 0
-3x + 3x4 + (3x * -1 + -3x4 * -1) = 0
-3x + 3x4 + (-3x + 3x4) = 0

Reorder the terms:
-3x + -3x + 3x4 + 3x4 = 0

Combine like terms: -3x + -3x = -6x
-6x + 3x4 + 3x4 = 0

Combine like terms: 3x4 + 3x4 = 6x4
-6x + 6x4 = 0

Solving
-6x + 6x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(-1 + x3) = 0

Ignore the factor 6.

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 '(-1 + x3)' equal to zero and attempt to solve: Simplifying -1 + x3 = 0 Solving -1 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x3 = 0 + 1 x3 = 0 + 1 Combine like terms: 0 + 1 = 1 x3 = 1 Simplifying x3 = 1 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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