136=(x+18)(x-12)

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Solution for 136=(x+18)(x-12) equation: 


Simplifying
136 = (x + 18)(x + -12)

Reorder the terms:
136 = (18 + x)(x + -12)

Reorder the terms:
136 = (18 + x)(-12 + x)

Multiply (18 + x) * (-12 + x)
136 = (18(-12 + x) + x(-12 + x))
136 = ((-12 * 18 + x * 18) + x(-12 + x))
136 = ((-216 + 18x) + x(-12 + x))
136 = (-216 + 18x + (-12 * x + x * x))
136 = (-216 + 18x + (-12x + x2))

Combine like terms: 18x + -12x = 6x
136 = (-216 + 6x + x2)

Solving
136 = -216 + 6x + x2

Solving for variable 'x'.

Combine like terms: 136 + 216 = 352
352 + -6x + -1x2 = -216 + 6x + x2 + 216 + -6x + -1x2

Reorder the terms:
352 + -6x + -1x2 = -216 + 216 + 6x + -6x + x2 + -1x2

Combine like terms: -216 + 216 = 0
352 + -6x + -1x2 = 0 + 6x + -6x + x2 + -1x2
352 + -6x + -1x2 = 6x + -6x + x2 + -1x2

Combine like terms: 6x + -6x = 0
352 + -6x + -1x2 = 0 + x2 + -1x2
352 + -6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
352 + -6x + -1x2 = 0

Factor a trinomial.
(16 + -1x)(22 + x) = 0


Subproblem 1
Set the factor '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 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 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16

Subproblem 2
Set the factor '(22 + x)' equal to zero and attempt to solve:

Simplifying
22 + x = 0

Solving
22 + x = 0

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

Add '-22' to each side of the equation.
22 + -22 + x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + x = 0 + -22
x = 0 + -22

Combine like terms: 0 + -22 = -22
x = -22

Simplifying
x = -22
Solution
x = {16, -22}

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