(x+2)(x-2)=10x+20

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Solution for (x+2)(x-2)=10x+20 equation: 


Simplifying
(x + 2)(x + -2) = 10x + 20

Reorder the terms:
(2 + x)(x + -2) = 10x + 20

Reorder the terms:
(2 + x)(-2 + x) = 10x + 20

Multiply (2 + x) * (-2 + x)
(2(-2 + x) + x(-2 + x)) = 10x + 20
((-2 * 2 + x * 2) + x(-2 + x)) = 10x + 20
((-4 + 2x) + x(-2 + x)) = 10x + 20
(-4 + 2x + (-2 * x + x * x)) = 10x + 20
(-4 + 2x + (-2x + x2)) = 10x + 20

Combine like terms: 2x + -2x = 0
(-4 + 0 + x2) = 10x + 20
(-4 + x2) = 10x + 20

Reorder the terms:
-4 + x2 = 20 + 10x

Solving
-4 + x2 = 20 + 10x

Solving for variable 'x'.

Reorder the terms:
-4 + -20 + -10x + x2 = 20 + 10x + -20 + -10x

Combine like terms: -4 + -20 = -24
-24 + -10x + x2 = 20 + 10x + -20 + -10x

Reorder the terms:
-24 + -10x + x2 = 20 + -20 + 10x + -10x

Combine like terms: 20 + -20 = 0
-24 + -10x + x2 = 0 + 10x + -10x
-24 + -10x + x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
-24 + -10x + x2 = 0

Factor a trinomial.
(-2 + -1x)(12 + -1x) = 0


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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
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
Solution
x = {-2, 12}

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