3x^3-51x=0

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Solution for 3x^3-51x=0 equation:


Simplifying
3x3 + -51x = 0

Reorder the terms:
-51x + 3x3 = 0

Solving
-51x + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-17 + x2) = 0

Ignore the factor 3.

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 '(-17 + x2)' equal to zero and attempt to solve: Simplifying -17 + x2 = 0 Solving -17 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + x2 = 0 + 17 Combine like terms: -17 + 17 = 0 0 + x2 = 0 + 17 x2 = 0 + 17 Combine like terms: 0 + 17 = 17 x2 = 17 Simplifying x2 = 17 Take the square root of each side: x = {-4.123105626, 4.123105626}

Solution

x = {0, -4.123105626, 4.123105626}

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