124x^4+144x^2+12x^2=

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Solution for 124x^4+144x^2+12x^2= equation:


Simplifying
124x4 + 144x2 + 12x2 = 0

Reorder the terms:
144x2 + 12x2 + 124x4 = 0

Combine like terms: 144x2 + 12x2 = 156x2
156x2 + 124x4 = 0

Solving
156x2 + 124x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x2'.
4x2(39 + 31x2) = 0

Ignore the factor 4.

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 '(39 + 31x2)' equal to zero and attempt to solve: Simplifying 39 + 31x2 = 0 Solving 39 + 31x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 31x2 = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 31x2 = 0 + -39 31x2 = 0 + -39 Combine like terms: 0 + -39 = -39 31x2 = -39 Divide each side by '31'. x2 = -1.258064516 Simplifying x2 = -1.258064516 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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