96=(2x+6)(x+1)

Solution for 96=(2x+6)(x+1) equation:

Simplifying
96 = (2x + 6)(x + 1)

Reorder the terms:
96 = (6 + 2x)(x + 1)

Reorder the terms:
96 = (6 + 2x)(1 + x)

Multiply (6 + 2x) * (1 + x)
96 = (6(1 + x) + 2x * (1 + x))
96 = ((1 * 6 + x * 6) + 2x * (1 + x))
96 = ((6 + 6x) + 2x * (1 + x))
96 = (6 + 6x + (1 * 2x + x * 2x))
96 = (6 + 6x + (2x + 2x2))

Combine like terms: 6x + 2x = 8x
96 = (6 + 8x + 2x2)

Solving
96 = 6 + 8x + 2x2

Solving for variable 'x'.

Combine like terms: 96 + -6 = 90
90 + -8x + -2x2 = 6 + 8x + 2x2 + -6 + -8x + -2x2

Reorder the terms:
90 + -8x + -2x2 = 6 + -6 + 8x + -8x + 2x2 + -2x2

Combine like terms: 6 + -6 = 0
90 + -8x + -2x2 = 0 + 8x + -8x + 2x2 + -2x2
90 + -8x + -2x2 = 8x + -8x + 2x2 + -2x2

Combine like terms: 8x + -8x = 0
90 + -8x + -2x2 = 0 + 2x2 + -2x2
90 + -8x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
90 + -8x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(45 + -4x + -1x2) = 0

Factor a trinomial.
2((5 + -1x)(9 + x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Subproblem 2
Set the factor '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 0

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

Add '-9' to each side of the equation.
9 + -9 + x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + x = 0 + -9
x = 0 + -9

Combine like terms: 0 + -9 = -9
x = -9

Simplifying
x = -9
Solution
x = {5, -9}