b^2+24b+144=0

Solution for b^2+24b+144=0 equation:

Simplifying
b2 + 24b + 144 = 0

Reorder the terms:
144 + 24b + b2 = 0

Solving
144 + 24b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(12 + b)(12 + b) = 0

Subproblem 1
Set the factor '(12 + b)' equal to zero and attempt to solve:

Simplifying
12 + b = 0

Solving
12 + b = 0

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

Add '-12' to each side of the equation.
12 + -12 + b = 0 + -12

Combine like terms: 12 + -12 = 0
0 + b = 0 + -12
b = 0 + -12

Combine like terms: 0 + -12 = -12
b = -12

Simplifying
b = -12
Subproblem 2
Set the factor '(12 + b)' equal to zero and attempt to solve:

Simplifying
12 + b = 0

Solving
12 + b = 0

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

Add '-12' to each side of the equation.
12 + -12 + b = 0 + -12

Combine like terms: 12 + -12 = 0
0 + b = 0 + -12
b = 0 + -12

Combine like terms: 0 + -12 = -12
b = -12

Simplifying
b = -12
Solution
b = {-12, -12}