=(x+2)(x+6)

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

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

Reorder the terms:
0 = (2 + x)(x + 6)

Reorder the terms:
0 = (2 + x)(6 + x)

Multiply (2 + x) * (6 + x)
0 = (2(6 + x) + x(6 + x))
0 = ((6 * 2 + x * 2) + x(6 + x))
0 = ((12 + 2x) + x(6 + x))
0 = (12 + 2x + (6 * x + x * x))
0 = (12 + 2x + (6x + x2))

Combine like terms: 2x + 6x = 8x
0 = (12 + 8x + x2)

Solving
0 = 12 + 8x + x2

Solving for variable 'x'.

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), '-1'.
-1(12 + 8x + x2) = 0

Factor a trinomial.
-1((6 + x)(2 + x)) = 0

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

Simplifying
6 + x = 0

Solving
6 + x = 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 + x = 0 + -6

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

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

Simplifying
x = -6
Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

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

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

Simplifying
x = -2
Solution
x = {-6, -2}