2x^4+9x^2=0

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Solution for 2x^4+9x^2=0 equation:


Simplifying
2x4 + 9x2 = 0

Reorder the terms:
9x2 + 2x4 = 0

Solving
9x2 + 2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(9 + 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 '(9 + 2x2)' equal to zero and attempt to solve: Simplifying 9 + 2x2 = 0 Solving 9 + 2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x2 = 0 + -9 2x2 = 0 + -9 Combine like terms: 0 + -9 = -9 2x2 = -9 Divide each side by '2'. x2 = -4.5 Simplifying x2 = -4.5 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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