X(3x^3-6x)=0

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Solution for X(3x^3-6x)=0 equation:


Simplifying
X(3x3 + -6x) = 0

Reorder the terms:
X(-6x + 3x3) = 0
(-6x * X + 3x3 * X) = 0
(-6xX + 3x3X) = 0

Solving
-6xX + 3x3X = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3xX'.
3xX(-2 + x2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'xX' equal to zero and attempt to solve: Simplifying xX = 0 Solving xX = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xX = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-2 + x2)' equal to zero and attempt to solve: Simplifying -2 + x2 = 0 Solving -2 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x2 = 0 + 2 x2 = 0 + 2 Combine like terms: 0 + 2 = 2 x2 = 2 Simplifying x2 = 2 Take the square root of each side: x = {-1.414213562, 1.414213562}

Solution

x = {-1.414213562, 1.414213562}

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