(m+8)(m+8)=1

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

Simplifying
(m + 8)(m + 8) = 1

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

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

Multiply (8 + m) * (8 + m)
(8(8 + m) + m(8 + m)) = 1
((8 * 8 + m * 8) + m(8 + m)) = 1
((64 + 8m) + m(8 + m)) = 1
(64 + 8m + (8 * m + m * m)) = 1
(64 + 8m + (8m + m2)) = 1

Combine like terms: 8m + 8m = 16m
(64 + 16m + m2) = 1

Solving
64 + 16m + m2 = 1

Solving for variable 'm'.

Reorder the terms:
64 + -1 + 16m + m2 = 1 + -1

Combine like terms: 64 + -1 = 63
63 + 16m + m2 = 1 + -1

Combine like terms: 1 + -1 = 0
63 + 16m + m2 = 0

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

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

Simplifying
9 + m = 0

Solving
9 + m = 0

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

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

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

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

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

Simplifying
7 + m = 0

Solving
7 + m = 0

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

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

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

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

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