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

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


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

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

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

Multiply (6 + 6x2) * (-2 + 5x)
(6(-2 + 5x) + 6x2 * (-2 + 5x)) = 0
((-2 * 6 + 5x * 6) + 6x2 * (-2 + 5x)) = 0
((-12 + 30x) + 6x2 * (-2 + 5x)) = 0
(-12 + 30x + (-2 * 6x2 + 5x * 6x2)) = 0
(-12 + 30x + (-12x2 + 30x3)) = 0
(-12 + 30x + -12x2 + 30x3) = 0

Solving
-12 + 30x + -12x2 + 30x3 = 0

Solving for variable 'x'.

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

Ignore the factor 6.

Subproblem 1
Set the factor '(-2 + 5x + -2x2 + 5x3)' equal to zero and attempt to solve:

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

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

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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