(x+6)(x+2)=60

Solution for (x+6)(x+2)=60 equation:

Simplifying
(x + 6)(x + 2) = 60

Reorder the terms:
(6 + x)(x + 2) = 60

Reorder the terms:
(6 + x)(2 + x) = 60

Multiply (6 + x) * (2 + x)
(6(2 + x) + x(2 + x)) = 60
((2 * 6 + x * 6) + x(2 + x)) = 60
((12 + 6x) + x(2 + x)) = 60
(12 + 6x + (2 * x + x * x)) = 60
(12 + 6x + (2x + x2)) = 60

Combine like terms: 6x + 2x = 8x
(12 + 8x + x2) = 60

Solving
12 + 8x + x2 = 60

Solving for variable 'x'.

Reorder the terms:
12 + -60 + 8x + x2 = 60 + -60

Combine like terms: 12 + -60 = -48
-48 + 8x + x2 = 60 + -60

Combine like terms: 60 + -60 = 0
-48 + 8x + x2 = 0

Factor a trinomial.
(-12 + -1x)(4 + -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 '(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
Solution
x = {-12, 4}