(3x^2-7x-20)(2x+12)=0

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Solution for (3x^2-7x-20)(2x+12)=0 equation: 


Simplifying
(3x2 + -7x + -20)(2x + 12) = 0

Reorder the terms:
(-20 + -7x + 3x2)(2x + 12) = 0

Reorder the terms:
(-20 + -7x + 3x2)(12 + 2x) = 0

Multiply (-20 + -7x + 3x2) * (12 + 2x)
(-20(12 + 2x) + -7x * (12 + 2x) + 3x2 * (12 + 2x)) = 0
((12 * -20 + 2x * -20) + -7x * (12 + 2x) + 3x2 * (12 + 2x)) = 0
((-240 + -40x) + -7x * (12 + 2x) + 3x2 * (12 + 2x)) = 0
(-240 + -40x + (12 * -7x + 2x * -7x) + 3x2 * (12 + 2x)) = 0
(-240 + -40x + (-84x + -14x2) + 3x2 * (12 + 2x)) = 0
(-240 + -40x + -84x + -14x2 + (12 * 3x2 + 2x * 3x2)) = 0
(-240 + -40x + -84x + -14x2 + (36x2 + 6x3)) = 0

Combine like terms: -40x + -84x = -124x
(-240 + -124x + -14x2 + 36x2 + 6x3) = 0

Combine like terms: -14x2 + 36x2 = 22x2
(-240 + -124x + 22x2 + 6x3) = 0

Solving
-240 + -124x + 22x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-120 + -62x + 11x2 + 3x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-120 + -62x + 11x2 + 3x3)' equal to zero and attempt to solve:

Simplifying
-120 + -62x + 11x2 + 3x3 = 0

Solving
-120 + -62x + 11x2 + 3x3 = 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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