(b+12)(b+12)=81

Solution for (b+12)(b+12)=81 equation:

Simplifying
(b + 12)(b + 12) = 81

Reorder the terms:
(12 + b)(b + 12) = 81

Reorder the terms:
(12 + b)(12 + b) = 81

Multiply (12 + b) * (12 + b)
(12(12 + b) + b(12 + b)) = 81
((12 * 12 + b * 12) + b(12 + b)) = 81
((144 + 12b) + b(12 + b)) = 81
(144 + 12b + (12 * b + b * b)) = 81
(144 + 12b + (12b + b2)) = 81

Combine like terms: 12b + 12b = 24b
(144 + 24b + b2) = 81

Solving
144 + 24b + b2 = 81

Solving for variable 'b'.

Reorder the terms:
144 + -81 + 24b + b2 = 81 + -81

Combine like terms: 144 + -81 = 63
63 + 24b + b2 = 81 + -81

Combine like terms: 81 + -81 = 0
63 + 24b + b2 = 0

Factor a trinomial.
(21 + b)(3 + b) = 0

Subproblem 1
Set the factor '(21 + b)' equal to zero and attempt to solve:

Simplifying
21 + b = 0

Solving
21 + b = 0

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

Add '-21' to each side of the equation.
21 + -21 + b = 0 + -21

Combine like terms: 21 + -21 = 0
0 + b = 0 + -21
b = 0 + -21

Combine like terms: 0 + -21 = -21
b = -21

Simplifying
b = -21
Subproblem 2
Set the factor '(3 + b)' equal to zero and attempt to solve:

Simplifying
3 + b = 0

Solving
3 + b = 0

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

Add '-3' to each side of the equation.
3 + -3 + b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + b = 0 + -3
b = 0 + -3

Combine like terms: 0 + -3 = -3
b = -3

Simplifying
b = -3
Solution
b = {-21, -3}