3x^3=289x

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Solution for 3x^3=289x equation:


Simplifying
3x3 = 289x

Solving
3x3 = 289x

Solving for variable 'x'.

Reorder the terms:
-289x + 3x3 = 289x + -289x

Combine like terms: 289x + -289x = 0
-289x + 3x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-289 + 3x2) = 0

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 '(-289 + 3x2)' equal to zero and attempt to solve: Simplifying -289 + 3x2 = 0 Solving -289 + 3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '289' to each side of the equation. -289 + 289 + 3x2 = 0 + 289 Combine like terms: -289 + 289 = 0 0 + 3x2 = 0 + 289 3x2 = 0 + 289 Combine like terms: 0 + 289 = 289 3x2 = 289 Divide each side by '3'. x2 = 96.33333333 Simplifying x2 = 96.33333333 Take the square root of each side: x = {-9.814954576, 9.814954576}

Solution

x = {0, -9.814954576, 9.814954576}

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