x^2=2x^4

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


Simplifying
x2 = 2x4

Solving
x2 = 2x4

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(1 + -2x2) = 0

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 '(1 + -2x2)' equal to zero and attempt to solve: Simplifying 1 + -2x2 = 0 Solving 1 + -2x2 = 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 + -2x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x2 = 0 + -1 -2x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -2x2 = -1 Divide each side by '-2'. x2 = 0.5 Simplifying x2 = 0.5 Take the square root of each side: x = {-0.707106781, 0.707106781}

Solution

x = {0, -0.707106781, 0.707106781}

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