(x+2)(x-2)=2(x+22)

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Solution for (x+2)(x-2)=2(x+22) equation: 


Simplifying
(x + 2)(x + -2) = 2(x + 22)

Reorder the terms:
(2 + x)(x + -2) = 2(x + 22)

Reorder the terms:
(2 + x)(-2 + x) = 2(x + 22)

Multiply (2 + x) * (-2 + x)
(2(-2 + x) + x(-2 + x)) = 2(x + 22)
((-2 * 2 + x * 2) + x(-2 + x)) = 2(x + 22)
((-4 + 2x) + x(-2 + x)) = 2(x + 22)
(-4 + 2x + (-2 * x + x * x)) = 2(x + 22)
(-4 + 2x + (-2x + x2)) = 2(x + 22)

Combine like terms: 2x + -2x = 0
(-4 + 0 + x2) = 2(x + 22)
(-4 + x2) = 2(x + 22)

Reorder the terms:
-4 + x2 = 2(22 + x)
-4 + x2 = (22 * 2 + x * 2)
-4 + x2 = (44 + 2x)

Solving
-4 + x2 = 44 + 2x

Solving for variable 'x'.

Reorder the terms:
-4 + -44 + -2x + x2 = 44 + 2x + -44 + -2x

Combine like terms: -4 + -44 = -48
-48 + -2x + x2 = 44 + 2x + -44 + -2x

Reorder the terms:
-48 + -2x + x2 = 44 + -44 + 2x + -2x

Combine like terms: 44 + -44 = 0
-48 + -2x + x2 = 0 + 2x + -2x
-48 + -2x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-48 + -2x + x2 = 0

Factor a trinomial.
(-6 + -1x)(8 + -1x) = 0


Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve:

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1x = 0 + 6

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

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

Divide each side by '-1'.
x = -6

Simplifying
x = -6

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-6, 8}

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