(x^4+x^2-2)*(x^2-2x)=0

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Solution for (x^4+x^2-2)*(x^2-2x)=0 equation: 


Simplifying
(x4 + x2 + -2)(x2 + -2x) = 0

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

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

Multiply (-2 + x2 + x4) * (-2x + x2)
(-2(-2x + x2) + x2(-2x + x2) + x4(-2x + x2)) = 0
((-2x * -2 + x2 * -2) + x2(-2x + x2) + x4(-2x + x2)) = 0
((4x + -2x2) + x2(-2x + x2) + x4(-2x + x2)) = 0
(4x + -2x2 + (-2x * x2 + x2 * x2) + x4(-2x + x2)) = 0
(4x + -2x2 + (-2x3 + x4) + x4(-2x + x2)) = 0
(4x + -2x2 + -2x3 + x4 + (-2x * x4 + x2 * x4)) = 0
(4x + -2x2 + -2x3 + x4 + (-2x5 + x6)) = 0
(4x + -2x2 + -2x3 + x4 + -2x5 + x6) = 0

Solving
4x + -2x2 + -2x3 + x4 + -2x5 + x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(4 + -2x + -2x2 + x3 + -2x4 + x5) = 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 '(4 + -2x + -2x2 + x3 + -2x4 + x5)' equal to zero and attempt to solve:

Simplifying
4 + -2x + -2x2 + x3 + -2x4 + x5 = 0

Solving
4 + -2x + -2x2 + x3 + -2x4 + x5 = 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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