2x^3=28x

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Solution for 2x^3=28x equation:


Simplifying
2x3 = 28x

Solving
2x3 = 28x

Solving for variable 'x'.

Reorder the terms:
-28x + 2x3 = 28x + -28x

Combine like terms: 28x + -28x = 0
-28x + 2x3 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-14 + x2) = 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 '(-14 + x2)' equal to zero and attempt to solve: Simplifying -14 + x2 = 0 Solving -14 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + x2 = 0 + 14 Combine like terms: -14 + 14 = 0 0 + x2 = 0 + 14 x2 = 0 + 14 Combine like terms: 0 + 14 = 14 x2 = 14 Simplifying x2 = 14 Take the square root of each side: x = {-3.741657387, 3.741657387}

Solution

x = {0, -3.741657387, 3.741657387}

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