(x+2)(x+8)=

Solution for (x+2)(x+8)= equation:

Simplifying
(x + 2)(x + 8) = 0

Reorder the terms:
(2 + x)(x + 8) = 0

Reorder the terms:
(2 + x)(8 + x) = 0

Multiply (2 + x) * (8 + x)
(2(8 + x) + x(8 + x)) = 0
((8 * 2 + x * 2) + x(8 + x)) = 0
((16 + 2x) + x(8 + x)) = 0
(16 + 2x + (8 * x + x * x)) = 0
(16 + 2x + (8x + x2)) = 0

Combine like terms: 2x + 8x = 10x
(16 + 10x + x2) = 0

Solving
16 + 10x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(8 + x)(2 + x) = 0

Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 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 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8
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 = {-8, -2}