2x^3=54x

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Solution for 2x^3=54x equation:


Simplifying
2x3 = 54x

Solving
2x3 = 54x

Solving for variable 'x'.

Reorder the terms:
-54x + 2x3 = 54x + -54x

Combine like terms: 54x + -54x = 0
-54x + 2x3 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-27 + 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 '(-27 + x2)' equal to zero and attempt to solve: Simplifying -27 + x2 = 0 Solving -27 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + x2 = 0 + 27 Combine like terms: -27 + 27 = 0 0 + x2 = 0 + 27 x2 = 0 + 27 Combine like terms: 0 + 27 = 27 x2 = 27 Simplifying x2 = 27 Take the square root of each side: x = {-5.196152423, 5.196152423}

Solution

x = {0, -5.196152423, 5.196152423}

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