(5x^2+6x)(12x^2-2)=0

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Solution for (5x^2+6x)(12x^2-2)=0 equation: 


Simplifying
(5x2 + 6x)(12x2 + -2) = 0

Reorder the terms:
(6x + 5x2)(12x2 + -2) = 0

Reorder the terms:
(6x + 5x2)(-2 + 12x2) = 0

Multiply (6x + 5x2) * (-2 + 12x2)
(6x * (-2 + 12x2) + 5x2 * (-2 + 12x2)) = 0
((-2 * 6x + 12x2 * 6x) + 5x2 * (-2 + 12x2)) = 0
((-12x + 72x3) + 5x2 * (-2 + 12x2)) = 0
(-12x + 72x3 + (-2 * 5x2 + 12x2 * 5x2)) = 0
(-12x + 72x3 + (-10x2 + 60x4)) = 0

Reorder the terms:
(-12x + -10x2 + 72x3 + 60x4) = 0
(-12x + -10x2 + 72x3 + 60x4) = 0

Solving
-12x + -10x2 + 72x3 + 60x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-6 + -5x + 36x2 + 30x3) = 0

Ignore the factor 2.

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 + -5x + 36x2 + 30x3)' equal to zero and attempt to solve:

Simplifying
-6 + -5x + 36x2 + 30x3 = 0

Solving
-6 + -5x + 36x2 + 30x3 = 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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