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

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


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

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

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

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

Reorder the terms:
(10x + -5x2 + -2x3 + x4) = 0
(10x + -5x2 + -2x3 + x4) = 0

Solving
10x + -5x2 + -2x3 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(10 + -5x + -2x2 + 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 '(10 + -5x + -2x2 + x3)' equal to zero and attempt to solve:

Simplifying
10 + -5x + -2x2 + x3 = 0

Solving
10 + -5x + -2x2 + 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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