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

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


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

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

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

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

Combine like terms: -9x + 3x = -6x
96 = (-9 + -6x + 3x2)

Solving
96 = -9 + -6x + 3x2

Solving for variable 'x'.

Combine like terms: 96 + 9 = 105
105 + 6x + -3x2 = -9 + -6x + 3x2 + 9 + 6x + -3x2

Reorder the terms:
105 + 6x + -3x2 = -9 + 9 + -6x + 6x + 3x2 + -3x2

Combine like terms: -9 + 9 = 0
105 + 6x + -3x2 = 0 + -6x + 6x + 3x2 + -3x2
105 + 6x + -3x2 = -6x + 6x + 3x2 + -3x2

Combine like terms: -6x + 6x = 0
105 + 6x + -3x2 = 0 + 3x2 + -3x2
105 + 6x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
105 + 6x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(35 + 2x + -1x2) = 0

Factor a trinomial.
3((7 + -1x)(5 + x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Solution
x = {7, -5}

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