5x(x^3-8)=0

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Solution for 5x(x^3-8)=0 equation: 


Simplifying
5x(x3 + -8) = 0

Reorder the terms:
5x(-8 + x3) = 0
(-8 * 5x + x3 * 5x) = 0
(-40x + 5x4) = 0

Solving
-40x + 5x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-8 + 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 '(-8 + x3)' equal to zero and attempt to solve:

Simplifying
-8 + x3 = 0

Solving
-8 + x3 = 0

Move all terms containing x to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 8 + x3 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + x3 = 0 + 8
x3 = 0 + 8

Combine like terms: 0 + 8 = 8
x3 = 8

Simplifying
x3 = 8

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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