(6x^2-3x-6)(3x+6)=0

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Solution for (6x^2-3x-6)(3x+6)=0 equation: 


Simplifying
(6x2 + -3x + -6)(3x + 6) = 0

Reorder the terms:
(-6 + -3x + 6x2)(3x + 6) = 0

Reorder the terms:
(-6 + -3x + 6x2)(6 + 3x) = 0

Multiply (-6 + -3x + 6x2) * (6 + 3x)
(-6(6 + 3x) + -3x * (6 + 3x) + 6x2 * (6 + 3x)) = 0
((6 * -6 + 3x * -6) + -3x * (6 + 3x) + 6x2 * (6 + 3x)) = 0
((-36 + -18x) + -3x * (6 + 3x) + 6x2 * (6 + 3x)) = 0
(-36 + -18x + (6 * -3x + 3x * -3x) + 6x2 * (6 + 3x)) = 0
(-36 + -18x + (-18x + -9x2) + 6x2 * (6 + 3x)) = 0
(-36 + -18x + -18x + -9x2 + (6 * 6x2 + 3x * 6x2)) = 0
(-36 + -18x + -18x + -9x2 + (36x2 + 18x3)) = 0

Combine like terms: -18x + -18x = -36x
(-36 + -36x + -9x2 + 36x2 + 18x3) = 0

Combine like terms: -9x2 + 36x2 = 27x2
(-36 + -36x + 27x2 + 18x3) = 0

Solving
-36 + -36x + 27x2 + 18x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(-4 + -4x + 3x2 + 2x3) = 0

Ignore the factor 9.

Subproblem 1
Set the factor '(-4 + -4x + 3x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
-4 + -4x + 3x2 + 2x3 = 0

Solving
-4 + -4x + 3x2 + 2x3 = 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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