99=(x+2)(x+4)

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Solution for 99=(x+2)(x+4) equation: 


Simplifying
99 = (x + 2)(x + 4)

Reorder the terms:
99 = (2 + x)(x + 4)

Reorder the terms:
99 = (2 + x)(4 + x)

Multiply (2 + x) * (4 + x)
99 = (2(4 + x) + x(4 + x))
99 = ((4 * 2 + x * 2) + x(4 + x))
99 = ((8 + 2x) + x(4 + x))
99 = (8 + 2x + (4 * x + x * x))
99 = (8 + 2x + (4x + x2))

Combine like terms: 2x + 4x = 6x
99 = (8 + 6x + x2)

Solving
99 = 8 + 6x + x2

Solving for variable 'x'.

Combine like terms: 99 + -8 = 91
91 + -6x + -1x2 = 8 + 6x + x2 + -8 + -6x + -1x2

Reorder the terms:
91 + -6x + -1x2 = 8 + -8 + 6x + -6x + x2 + -1x2

Combine like terms: 8 + -8 = 0
91 + -6x + -1x2 = 0 + 6x + -6x + x2 + -1x2
91 + -6x + -1x2 = 6x + -6x + x2 + -1x2

Combine like terms: 6x + -6x = 0
91 + -6x + -1x2 = 0 + x2 + -1x2
91 + -6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
91 + -6x + -1x2 = 0

Factor a trinomial.
(7 + -1x)(13 + x) = 0


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 '(13 + x)' equal to zero and attempt to solve:

Simplifying
13 + x = 0

Solving
13 + x = 0

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

Add '-13' to each side of the equation.
13 + -13 + x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + x = 0 + -13
x = 0 + -13

Combine like terms: 0 + -13 = -13
x = -13

Simplifying
x = -13
Solution
x = {7, -13}

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