(x-6)(x+2)=20

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Solution for (x-6)(x+2)=20 equation: 


Simplifying
(x + -6)(x + 2) = 20

Reorder the terms:
(-6 + x)(x + 2) = 20

Reorder the terms:
(-6 + x)(2 + x) = 20

Multiply (-6 + x) * (2 + x)
(-6(2 + x) + x(2 + x)) = 20
((2 * -6 + x * -6) + x(2 + x)) = 20
((-12 + -6x) + x(2 + x)) = 20
(-12 + -6x + (2 * x + x * x)) = 20
(-12 + -6x + (2x + x2)) = 20

Combine like terms: -6x + 2x = -4x
(-12 + -4x + x2) = 20

Solving
-12 + -4x + x2 = 20

Solving for variable 'x'.

Reorder the terms:
-12 + -20 + -4x + x2 = 20 + -20

Combine like terms: -12 + -20 = -32
-32 + -4x + x2 = 20 + -20

Combine like terms: 20 + -20 = 0
-32 + -4x + x2 = 0

Factor a trinomial.
(-4 + -1x)(8 + -1x) = 0


Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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 = {-4, 8}

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