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

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

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

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

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

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

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

Solving
60 = 12 + 8x + x2

Solving for variable 'x'.

Combine like terms: 60 + -12 = 48
48 + -8x + -1x2 = 12 + 8x + x2 + -12 + -8x + -1x2

Reorder the terms:
48 + -8x + -1x2 = 12 + -12 + 8x + -8x + x2 + -1x2

Combine like terms: 12 + -12 = 0
48 + -8x + -1x2 = 0 + 8x + -8x + x2 + -1x2
48 + -8x + -1x2 = 8x + -8x + x2 + -1x2

Combine like terms: 8x + -8x = 0
48 + -8x + -1x2 = 0 + x2 + -1x2
48 + -8x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
48 + -8x + -1x2 = 0

Factor a trinomial.
(4 + -1x)(12 + x) = 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 '(12 + x)' equal to zero and attempt to solve:

Simplifying
12 + x = 0

Solving
12 + x = 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 + x = 0 + -12

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

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

Simplifying
x = -12
Solution
x = {4, -12}