96=(3x^2-9)(x+1)

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Solution for 96=(3x^2-9)(x+1) equation: 


Simplifying
96 = (3x2 + -9)(x + 1)

Reorder the terms:
96 = (-9 + 3x2)(x + 1)

Reorder the terms:
96 = (-9 + 3x2)(1 + x)

Multiply (-9 + 3x2) * (1 + x)
96 = (-9(1 + x) + 3x2 * (1 + x))
96 = ((1 * -9 + x * -9) + 3x2 * (1 + x))
96 = ((-9 + -9x) + 3x2 * (1 + x))
96 = (-9 + -9x + (1 * 3x2 + x * 3x2))
96 = (-9 + -9x + (3x2 + 3x3))
96 = (-9 + -9x + 3x2 + 3x3)

Solving
96 = -9 + -9x + 3x2 + 3x3

Solving for variable 'x'.

Combine like terms: 96 + 9 = 105
105 + 9x + -3x2 + -3x3 = -9 + -9x + 3x2 + 3x3 + 9 + 9x + -3x2 + -3x3

Reorder the terms:
105 + 9x + -3x2 + -3x3 = -9 + 9 + -9x + 9x + 3x2 + -3x2 + 3x3 + -3x3

Combine like terms: -9 + 9 = 0
105 + 9x + -3x2 + -3x3 = 0 + -9x + 9x + 3x2 + -3x2 + 3x3 + -3x3
105 + 9x + -3x2 + -3x3 = -9x + 9x + 3x2 + -3x2 + 3x3 + -3x3

Combine like terms: -9x + 9x = 0
105 + 9x + -3x2 + -3x3 = 0 + 3x2 + -3x2 + 3x3 + -3x3
105 + 9x + -3x2 + -3x3 = 3x2 + -3x2 + 3x3 + -3x3

Combine like terms: 3x2 + -3x2 = 0
105 + 9x + -3x2 + -3x3 = 0 + 3x3 + -3x3
105 + 9x + -3x2 + -3x3 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
105 + 9x + -3x2 + -3x3 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(35 + 3x + -1x2 + -1x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(35 + 3x + -1x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
35 + 3x + -1x2 + -1x3 = 0

Solving
35 + 3x + -1x2 + -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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