6x^4+13x^2=0

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Solution for 6x^4+13x^2=0 equation:


Simplifying
6x4 + 13x2 = 0

Reorder the terms:
13x2 + 6x4 = 0

Solving
13x2 + 6x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(13 + 6x2) = 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 '(13 + 6x2)' equal to zero and attempt to solve: Simplifying 13 + 6x2 = 0 Solving 13 + 6x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 6x2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 6x2 = 0 + -13 6x2 = 0 + -13 Combine like terms: 0 + -13 = -13 6x2 = -13 Divide each side by '6'. x2 = -2.166666667 Simplifying x2 = -2.166666667 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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