3x^4+16x^2=0

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Solution for 3x^4+16x^2=0 equation:


Simplifying
3x4 + 16x2 = 0

Reorder the terms:
16x2 + 3x4 = 0

Solving
16x2 + 3x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(16 + 3x2) = 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 '(16 + 3x2)' equal to zero and attempt to solve: Simplifying 16 + 3x2 = 0 Solving 16 + 3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 3x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 3x2 = 0 + -16 3x2 = 0 + -16 Combine like terms: 0 + -16 = -16 3x2 = -16 Divide each side by '3'. x2 = -5.333333333 Simplifying x2 = -5.333333333 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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