2x^4-6x^3-8x^2=4x^3-4x

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Solution for 2x^4-6x^3-8x^2=4x^3-4x equation:


Simplifying
2x4 + -6x3 + -8x2 = 4x3 + -4x

Reorder the terms:
-8x2 + -6x3 + 2x4 = 4x3 + -4x

Reorder the terms:
-8x2 + -6x3 + 2x4 = -4x + 4x3

Solving
-8x2 + -6x3 + 2x4 = -4x + 4x3

Solving for variable 'x'.

Reorder the terms:
4x + -8x2 + -6x3 + -4x3 + 2x4 = -4x + 4x3 + 4x + -4x3

Combine like terms: -6x3 + -4x3 = -10x3
4x + -8x2 + -10x3 + 2x4 = -4x + 4x3 + 4x + -4x3

Reorder the terms:
4x + -8x2 + -10x3 + 2x4 = -4x + 4x + 4x3 + -4x3

Combine like terms: -4x + 4x = 0
4x + -8x2 + -10x3 + 2x4 = 0 + 4x3 + -4x3
4x + -8x2 + -10x3 + 2x4 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
4x + -8x2 + -10x3 + 2x4 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(2 + -4x + -5x2 + x3) = 0

Ignore the factor 2.

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 '(2 + -4x + -5x2 + x3)' equal to zero and attempt to solve: Simplifying 2 + -4x + -5x2 + x3 = 0 Solving 2 + -4x + -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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