-5x(x^2-1)(x-2)=0

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Solution for -5x(x^2-1)(x-2)=0 equation: 


Simplifying
-5x(x2 + -1)(x + -2) = 0

Reorder the terms:
-5x(-1 + x2)(x + -2) = 0

Reorder the terms:
-5x(-1 + x2)(-2 + x) = 0

Multiply (-1 + x2) * (-2 + x)
-5x(-1(-2 + x) + x2(-2 + x)) = 0
-5x((-2 * -1 + x * -1) + x2(-2 + x)) = 0
-5x((2 + -1x) + x2(-2 + x)) = 0
-5x(2 + -1x + (-2 * x2 + x * x2)) = 0
-5x(2 + -1x + (-2x2 + x3)) = 0
-5x(2 + -1x + -2x2 + x3) = 0
(2 * -5x + -1x * -5x + -2x2 * -5x + x3 * -5x) = 0
(-10x + 5x2 + 10x3 + -5x4) = 0

Solving
-10x + 5x2 + 10x3 + -5x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-2 + x + 2x2 + -1x3) = 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 + x + 2x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
-2 + x + 2x2 + -1x3 = 0

Solving
-2 + x + 2x2 + -1x3 = 0

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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