(30x^4-18x^2-4)(20x^3-6x)=

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Solution for (30x^4-18x^2-4)(20x^3-6x)= equation: 


Simplifying
(30x4 + -18x2 + -4)(20x3 + -6x) = 0

Reorder the terms:
(-4 + -18x2 + 30x4)(20x3 + -6x) = 0

Reorder the terms:
(-4 + -18x2 + 30x4)(-6x + 20x3) = 0

Multiply (-4 + -18x2 + 30x4) * (-6x + 20x3)
(-4(-6x + 20x3) + -18x2 * (-6x + 20x3) + 30x4 * (-6x + 20x3)) = 0
((-6x * -4 + 20x3 * -4) + -18x2 * (-6x + 20x3) + 30x4 * (-6x + 20x3)) = 0
((24x + -80x3) + -18x2 * (-6x + 20x3) + 30x4 * (-6x + 20x3)) = 0
(24x + -80x3 + (-6x * -18x2 + 20x3 * -18x2) + 30x4 * (-6x + 20x3)) = 0
(24x + -80x3 + (108x3 + -360x5) + 30x4 * (-6x + 20x3)) = 0
(24x + -80x3 + 108x3 + -360x5 + (-6x * 30x4 + 20x3 * 30x4)) = 0
(24x + -80x3 + 108x3 + -360x5 + (-180x5 + 600x7)) = 0

Combine like terms: -80x3 + 108x3 = 28x3
(24x + 28x3 + -360x5 + -180x5 + 600x7) = 0

Combine like terms: -360x5 + -180x5 = -540x5
(24x + 28x3 + -540x5 + 600x7) = 0

Solving
24x + 28x3 + -540x5 + 600x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(6 + 7x2 + -135x4 + 150x6) = 0

Ignore the factor 4.

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 '(6 + 7x2 + -135x4 + 150x6)' equal to zero and attempt to solve:

Simplifying
6 + 7x2 + -135x4 + 150x6 = 0

Solving
6 + 7x2 + -135x4 + 150x6 = 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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