8x^3=-26x

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Solution for 8x^3=-26x equation:


Simplifying
8x3 = -26x

Solving
8x3 = -26x

Solving for variable 'x'.

Reorder the terms:
26x + 8x3 = -26x + 26x

Combine like terms: -26x + 26x = 0
26x + 8x3 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(13 + 4x2) = 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 '(13 + 4x2)' equal to zero and attempt to solve: Simplifying 13 + 4x2 = 0 Solving 13 + 4x2 = 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 + 4x2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 4x2 = 0 + -13 4x2 = 0 + -13 Combine like terms: 0 + -13 = -13 4x2 = -13 Divide each side by '4'. x2 = -3.25 Simplifying x2 = -3.25 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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