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

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

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

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

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

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

Combine like terms: 3x + -1x = 2x
96 = (-3 + 2x + x2)

Solving
96 = -3 + 2x + x2

Solving for variable 'x'.

Combine like terms: 96 + 3 = 99
99 + -2x + -1x2 = -3 + 2x + x2 + 3 + -2x + -1x2

Reorder the terms:
99 + -2x + -1x2 = -3 + 3 + 2x + -2x + x2 + -1x2

Combine like terms: -3 + 3 = 0
99 + -2x + -1x2 = 0 + 2x + -2x + x2 + -1x2
99 + -2x + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
99 + -2x + -1x2 = 0 + x2 + -1x2
99 + -2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
99 + -2x + -1x2 = 0

Factor a trinomial.
(9 + -1x)(11 + x) = 0

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

Simplifying
9 + -1x = 0

Solving
9 + -1x = 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 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Subproblem 2
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 0

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

Add '-11' to each side of the equation.
11 + -11 + x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x = 0 + -11
x = 0 + -11

Combine like terms: 0 + -11 = -11
x = -11

Simplifying
x = -11
Solution
x = {9, -11}