-4x^3+26x=0

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Solution for -4x^3+26x=0 equation:


Simplifying
-4x3 + 26x = 0

Reorder the terms:
26x + -4x3 = 0

Solving
26x + -4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(13 + -2x2) = 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 + -2x2)' equal to zero and attempt to solve: Simplifying 13 + -2x2 = 0 Solving 13 + -2x2 = 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 + -2x2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2x2 = 0 + -13 -2x2 = 0 + -13 Combine like terms: 0 + -13 = -13 -2x2 = -13 Divide each side by '-2'. x2 = 6.5 Simplifying x2 = 6.5 Take the square root of each side: x = {-2.549509757, 2.549509757}

Solution

x = {0, -2.549509757, 2.549509757}

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