0=(3x^2-12)(x+9)

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Solution for 0=(3x^2-12)(x+9) equation: 


Simplifying
0 = (3x2 + -12)(x + 9)

Reorder the terms:
0 = (-12 + 3x2)(x + 9)

Reorder the terms:
0 = (-12 + 3x2)(9 + x)

Multiply (-12 + 3x2) * (9 + x)
0 = (-12(9 + x) + 3x2 * (9 + x))
0 = ((9 * -12 + x * -12) + 3x2 * (9 + x))
0 = ((-108 + -12x) + 3x2 * (9 + x))
0 = (-108 + -12x + (9 * 3x2 + x * 3x2))
0 = (-108 + -12x + (27x2 + 3x3))
0 = (-108 + -12x + 27x2 + 3x3)

Solving
0 = -108 + -12x + 27x2 + 3x3

Solving for variable 'x'.

Combine like terms: 0 + 108 = 108
108 + 12x + -27x2 + -3x3 = -108 + -12x + 27x2 + 3x3 + 108 + 12x + -27x2 + -3x3

Reorder the terms:
108 + 12x + -27x2 + -3x3 = -108 + 108 + -12x + 12x + 27x2 + -27x2 + 3x3 + -3x3

Combine like terms: -108 + 108 = 0
108 + 12x + -27x2 + -3x3 = 0 + -12x + 12x + 27x2 + -27x2 + 3x3 + -3x3
108 + 12x + -27x2 + -3x3 = -12x + 12x + 27x2 + -27x2 + 3x3 + -3x3

Combine like terms: -12x + 12x = 0
108 + 12x + -27x2 + -3x3 = 0 + 27x2 + -27x2 + 3x3 + -3x3
108 + 12x + -27x2 + -3x3 = 27x2 + -27x2 + 3x3 + -3x3

Combine like terms: 27x2 + -27x2 = 0
108 + 12x + -27x2 + -3x3 = 0 + 3x3 + -3x3
108 + 12x + -27x2 + -3x3 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
108 + 12x + -27x2 + -3x3 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(36 + 4x + -9x2 + -1x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(36 + 4x + -9x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
36 + 4x + -9x2 + -1x3 = 0

Solving
36 + 4x + -9x2 + -1x3 = 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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