4x^3-22x=0

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Solution for 4x^3-22x=0 equation:


Simplifying
4x3 + -22x = 0

Reorder the terms:
-22x + 4x3 = 0

Solving
-22x + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-11 + 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 '(-11 + 2x2)' equal to zero and attempt to solve: Simplifying -11 + 2x2 = 0 Solving -11 + 2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 2x2 = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 2x2 = 0 + 11 2x2 = 0 + 11 Combine like terms: 0 + 11 = 11 2x2 = 11 Divide each side by '2'. x2 = 5.5 Simplifying x2 = 5.5 Take the square root of each side: x = {-2.34520788, 2.34520788}

Solution

x = {0, -2.34520788, 2.34520788}

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