(x+2)*(x-6)=180

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Solution for (x+2)*(x-6)=180 equation: 


Simplifying
(x + 2)(x + -6) = 180

Reorder the terms:
(2 + x)(x + -6) = 180

Reorder the terms:
(2 + x)(-6 + x) = 180

Multiply (2 + x) * (-6 + x)
(2(-6 + x) + x(-6 + x)) = 180
((-6 * 2 + x * 2) + x(-6 + x)) = 180
((-12 + 2x) + x(-6 + x)) = 180
(-12 + 2x + (-6 * x + x * x)) = 180
(-12 + 2x + (-6x + x2)) = 180

Combine like terms: 2x + -6x = -4x
(-12 + -4x + x2) = 180

Solving
-12 + -4x + x2 = 180

Solving for variable 'x'.

Reorder the terms:
-12 + -180 + -4x + x2 = 180 + -180

Combine like terms: -12 + -180 = -192
-192 + -4x + x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-192 + -4x + x2 = 0

Factor a trinomial.
(-12 + -1x)(16 + -1x) = 0


Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve:

Simplifying
-12 + -1x = 0

Solving
-12 + -1x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1x = 0 + 12

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

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

Divide each side by '-1'.
x = -12

Simplifying
x = -12

Subproblem 2
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
Solution
x = {-12, 16}

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