12x^3+2x=0

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Solution for 12x^3+2x=0 equation:


Simplifying
12x3 + 2x = 0

Reorder the terms:
2x + 12x3 = 0

Solving
2x + 12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(1 + 6x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(1 + 6x2)' equal to zero and attempt to solve: Simplifying 1 + 6x2 = 0 Solving 1 + 6x2 = 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 + 6x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6x2 = 0 + -1 6x2 = 0 + -1 Combine like terms: 0 + -1 = -1 6x2 = -1 Divide each side by '6'. x2 = -0.1666666667 Simplifying x2 = -0.1666666667 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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