(x+8)(x+8)=1

Solution for (x+8)(x+8)=1 equation:

Simplifying
(x + 8)(x + 8) = 1

Reorder the terms:
(8 + x)(x + 8) = 1

Reorder the terms:
(8 + x)(8 + x) = 1

Multiply (8 + x) * (8 + x)
(8(8 + x) + x(8 + x)) = 1
((8 * 8 + x * 8) + x(8 + x)) = 1
((64 + 8x) + x(8 + x)) = 1
(64 + 8x + (8 * x + x * x)) = 1
(64 + 8x + (8x + x2)) = 1

Combine like terms: 8x + 8x = 16x
(64 + 16x + x2) = 1

Solving
64 + 16x + x2 = 1

Solving for variable 'x'.

Reorder the terms:
64 + -1 + 16x + x2 = 1 + -1

Combine like terms: 64 + -1 = 63
63 + 16x + x2 = 1 + -1

Combine like terms: 1 + -1 = 0
63 + 16x + x2 = 0

Factor a trinomial.
(9 + x)(7 + x) = 0

Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 0

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

Add '-9' to each side of the equation.
9 + -9 + x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + x = 0 + -9
x = 0 + -9

Combine like terms: 0 + -9 = -9
x = -9

Simplifying
x = -9
Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
Solution
x = {-9, -7}