4x^4-6x^2=0

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Solution for 4x^4-6x^2=0 equation:


Simplifying
4x4 + -6x2 = 0

Reorder the terms:
-6x2 + 4x4 = 0

Solving
-6x2 + 4x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(-3 + 2x2) = 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 '(-3 + 2x2)' equal to zero and attempt to solve: Simplifying -3 + 2x2 = 0 Solving -3 + 2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2x2 = 0 + 3 2x2 = 0 + 3 Combine like terms: 0 + 3 = 3 2x2 = 3 Divide each side by '2'. x2 = 1.5 Simplifying x2 = 1.5 Take the square root of each side: x = {-1.224744871, 1.224744871}

Solution

x = {0, -1.224744871, 1.224744871}

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