6x^4-2x^2=2x^2

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


Simplifying
6x4 + -2x2 = 2x2

Reorder the terms:
-2x2 + 6x4 = 2x2

Solving
-2x2 + 6x4 = 2x2

Solving for variable 'x'.

Reorder the terms:
-2x2 + -2x2 + 6x4 = 2x2 + -2x2

Combine like terms: -2x2 + -2x2 = -4x2
-4x2 + 6x4 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-4x2 + 6x4 = 0

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(-2 + 3x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(-2 + 3x2)' equal to zero and attempt to solve: Simplifying -2 + 3x2 = 0 Solving -2 + 3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3x2 = 0 + 2 3x2 = 0 + 2 Combine like terms: 0 + 2 = 2 3x2 = 2 Divide each side by '3'. x2 = 0.6666666667 Simplifying x2 = 0.6666666667 Take the square root of each side: x = {-0.816496581, 0.816496581}

Solution

x = {0, -0.816496581, 0.816496581}

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