5x(x^3-2)=0

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Solution for 5x(x^3-2)=0 equation:


Simplifying
5x(x3 + -2) = 0

Reorder the terms:
5x(-2 + x3) = 0
(-2 * 5x + x3 * 5x) = 0
(-10x + 5x4) = 0

Solving
-10x + 5x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-2 + x3) = 0

Ignore the factor 5.

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 '(-2 + x3)' equal to zero and attempt to solve: Simplifying -2 + x3 = 0 Solving -2 + x3 = 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 + x3 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x3 = 0 + 2 x3 = 0 + 2 Combine like terms: 0 + 2 = 2 x3 = 2 Simplifying x3 = 2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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