(2x-5)(x^6+x^4-20x^2)=0

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Solution for (2x-5)(x^6+x^4-20x^2)=0 equation: 


Simplifying
(2x + -5)(x6 + x4 + -20x2) = 0

Reorder the terms:
(-5 + 2x)(x6 + x4 + -20x2) = 0

Reorder the terms:
(-5 + 2x)(-20x2 + x4 + x6) = 0

Multiply (-5 + 2x) * (-20x2 + x4 + x6)
(-5(-20x2 + x4 + x6) + 2x * (-20x2 + x4 + x6)) = 0
((-20x2 * -5 + x4 * -5 + x6 * -5) + 2x * (-20x2 + x4 + x6)) = 0
((100x2 + -5x4 + -5x6) + 2x * (-20x2 + x4 + x6)) = 0
(100x2 + -5x4 + -5x6 + (-20x2 * 2x + x4 * 2x + x6 * 2x)) = 0
(100x2 + -5x4 + -5x6 + (-40x3 + 2x5 + 2x7)) = 0

Reorder the terms:
(100x2 + -40x3 + -5x4 + 2x5 + -5x6 + 2x7) = 0
(100x2 + -40x3 + -5x4 + 2x5 + -5x6 + 2x7) = 0

Solving
100x2 + -40x3 + -5x4 + 2x5 + -5x6 + 2x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(100 + -40x + -5x2 + 2x3 + -5x4 + 2x5) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(100 + -40x + -5x2 + 2x3 + -5x4 + 2x5)' equal to zero and attempt to solve:

Simplifying
100 + -40x + -5x2 + 2x3 + -5x4 + 2x5 = 0

Solving
100 + -40x + -5x2 + 2x3 + -5x4 + 2x5 = 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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