(b+36)(b+25)=0

Solution for (b+36)(b+25)=0 equation:

Simplifying
(b + 36)(b + 25) = 0

Reorder the terms:
(36 + b)(b + 25) = 0

Reorder the terms:
(36 + b)(25 + b) = 0

Multiply (36 + b) * (25 + b)
(36(25 + b) + b(25 + b)) = 0
((25 * 36 + b * 36) + b(25 + b)) = 0
((900 + 36b) + b(25 + b)) = 0
(900 + 36b + (25 * b + b * b)) = 0
(900 + 36b + (25b + b2)) = 0

Combine like terms: 36b + 25b = 61b
(900 + 61b + b2) = 0

Solving
900 + 61b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(36 + b)(25 + b) = 0

Subproblem 1
Set the factor '(36 + b)' equal to zero and attempt to solve:

Simplifying
36 + b = 0

Solving
36 + b = 0

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

Add '-36' to each side of the equation.
36 + -36 + b = 0 + -36

Combine like terms: 36 + -36 = 0
0 + b = 0 + -36
b = 0 + -36

Combine like terms: 0 + -36 = -36
b = -36

Simplifying
b = -36
Subproblem 2
Set the factor '(25 + b)' equal to zero and attempt to solve:

Simplifying
25 + b = 0

Solving
25 + b = 0

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

Add '-25' to each side of the equation.
25 + -25 + b = 0 + -25

Combine like terms: 25 + -25 = 0
0 + b = 0 + -25
b = 0 + -25

Combine like terms: 0 + -25 = -25
b = -25

Simplifying
b = -25
Solution
b = {-36, -25}