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

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


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

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

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

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

Reorder the terms:
(2x + -2x2 + -1x3 + x4) = 0
(2x + -2x2 + -1x3 + x4) = 0

Solving
2x + -2x2 + -1x3 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(2 + -2x + -1x2 + x3) = 0


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 + -2x + -1x2 + x3)' equal to zero and attempt to solve:

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

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