96=(x+4)*(x+8)

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Solution for 96=(x+4)*(x+8) equation: 


Simplifying
96 = (x + 4)(x + 8)

Reorder the terms:
96 = (4 + x)(x + 8)

Reorder the terms:
96 = (4 + x)(8 + x)

Multiply (4 + x) * (8 + x)
96 = (4(8 + x) + x(8 + x))
96 = ((8 * 4 + x * 4) + x(8 + x))
96 = ((32 + 4x) + x(8 + x))
96 = (32 + 4x + (8 * x + x * x))
96 = (32 + 4x + (8x + x2))

Combine like terms: 4x + 8x = 12x
96 = (32 + 12x + x2)

Solving
96 = 32 + 12x + x2

Solving for variable 'x'.

Combine like terms: 96 + -32 = 64
64 + -12x + -1x2 = 32 + 12x + x2 + -32 + -12x + -1x2

Reorder the terms:
64 + -12x + -1x2 = 32 + -32 + 12x + -12x + x2 + -1x2

Combine like terms: 32 + -32 = 0
64 + -12x + -1x2 = 0 + 12x + -12x + x2 + -1x2
64 + -12x + -1x2 = 12x + -12x + x2 + -1x2

Combine like terms: 12x + -12x = 0
64 + -12x + -1x2 = 0 + x2 + -1x2
64 + -12x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
64 + -12x + -1x2 = 0

Factor a trinomial.
(4 + -1x)(16 + x) = 0


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

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(16 + x)' equal to zero and attempt to solve:

Simplifying
16 + x = 0

Solving
16 + x = 0

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

Add '-16' to each side of the equation.
16 + -16 + x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + x = 0 + -16
x = 0 + -16

Combine like terms: 0 + -16 = -16
x = -16

Simplifying
x = -16
Solution
x = {4, -16}

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