12x^2(x+3)+12(x-3)=3(x^2-9)

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Solution for 12x^2(x+3)+12(x-3)=3(x^2-9) equation: 


Simplifying
12x2(x + 3) + 12(x + -3) = 3(x2 + -9)

Reorder the terms:
12x2(3 + x) + 12(x + -3) = 3(x2 + -9)
(3 * 12x2 + x * 12x2) + 12(x + -3) = 3(x2 + -9)
(36x2 + 12x3) + 12(x + -3) = 3(x2 + -9)

Reorder the terms:
36x2 + 12x3 + 12(-3 + x) = 3(x2 + -9)
36x2 + 12x3 + (-3 * 12 + x * 12) = 3(x2 + -9)
36x2 + 12x3 + (-36 + 12x) = 3(x2 + -9)

Reorder the terms:
-36 + 12x + 36x2 + 12x3 = 3(x2 + -9)

Reorder the terms:
-36 + 12x + 36x2 + 12x3 = 3(-9 + x2)
-36 + 12x + 36x2 + 12x3 = (-9 * 3 + x2 * 3)
-36 + 12x + 36x2 + 12x3 = (-27 + 3x2)

Solving
-36 + 12x + 36x2 + 12x3 = -27 + 3x2

Solving for variable 'x'.

Reorder the terms:
-36 + 27 + 12x + 36x2 + -3x2 + 12x3 = -27 + 3x2 + 27 + -3x2

Combine like terms: -36 + 27 = -9
-9 + 12x + 36x2 + -3x2 + 12x3 = -27 + 3x2 + 27 + -3x2

Combine like terms: 36x2 + -3x2 = 33x2
-9 + 12x + 33x2 + 12x3 = -27 + 3x2 + 27 + -3x2

Reorder the terms:
-9 + 12x + 33x2 + 12x3 = -27 + 27 + 3x2 + -3x2

Combine like terms: -27 + 27 = 0
-9 + 12x + 33x2 + 12x3 = 0 + 3x2 + -3x2
-9 + 12x + 33x2 + 12x3 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-9 + 12x + 33x2 + 12x3 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-3 + 4x + 11x2 + 4x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-3 + 4x + 11x2 + 4x3)' equal to zero and attempt to solve:

Simplifying
-3 + 4x + 11x2 + 4x3 = 0

Solving
-3 + 4x + 11x2 + 4x3 = 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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