(x+8)(x+8)=4

Solution for (x+8)(x+8)=4 equation:

Simplifying
(x + 8)(x + 8) = 4

Reorder the terms:
(8 + x)(x + 8) = 4

Reorder the terms:
(8 + x)(8 + x) = 4

Multiply (8 + x) * (8 + x)
(8(8 + x) + x(8 + x)) = 4
((8 * 8 + x * 8) + x(8 + x)) = 4
((64 + 8x) + x(8 + x)) = 4
(64 + 8x + (8 * x + x * x)) = 4
(64 + 8x + (8x + x2)) = 4

Combine like terms: 8x + 8x = 16x
(64 + 16x + x2) = 4

Solving
64 + 16x + x2 = 4

Solving for variable 'x'.

Reorder the terms:
64 + -4 + 16x + x2 = 4 + -4

Combine like terms: 64 + -4 = 60
60 + 16x + x2 = 4 + -4

Combine like terms: 4 + -4 = 0
60 + 16x + x2 = 0

Factor a trinomial.
(10 + x)(6 + x) = 0

Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Subproblem 2
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
Solution
x = {-10, -6}