18x^3-2x=-6x

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Solution for 18x^3-2x=-6x equation:


Simplifying
18x3 + -2x = -6x

Reorder the terms:
-2x + 18x3 = -6x

Solving
-2x + 18x3 = -6x

Solving for variable 'x'.

Reorder the terms:
-2x + 6x + 18x3 = -6x + 6x

Combine like terms: -2x + 6x = 4x
4x + 18x3 = -6x + 6x

Combine like terms: -6x + 6x = 0
4x + 18x3 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(2 + 9x2) = 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 '(2 + 9x2)' equal to zero and attempt to solve: Simplifying 2 + 9x2 = 0 Solving 2 + 9x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 9x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9x2 = 0 + -2 9x2 = 0 + -2 Combine like terms: 0 + -2 = -2 9x2 = -2 Divide each side by '9'. x2 = -0.2222222222 Simplifying x2 = -0.2222222222 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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