(b+25)(b+16)=0

Solution for (b+25)(b+16)=0 equation:

Simplifying
(b + 25)(b + 16) = 0

Reorder the terms:
(25 + b)(b + 16) = 0

Reorder the terms:
(25 + b)(16 + b) = 0

Multiply (25 + b) * (16 + b)
(25(16 + b) + b(16 + b)) = 0
((16 * 25 + b * 25) + b(16 + b)) = 0
((400 + 25b) + b(16 + b)) = 0
(400 + 25b + (16 * b + b * b)) = 0
(400 + 25b + (16b + b2)) = 0

Combine like terms: 25b + 16b = 41b
(400 + 41b + b2) = 0

Solving
400 + 41b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(25 + b)(16 + b) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(16 + b)' equal to zero and attempt to solve:

Simplifying
16 + b = 0

Solving
16 + b = 0

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

Add '-16' to each side of the equation.
16 + -16 + b = 0 + -16

Combine like terms: 16 + -16 = 0
0 + b = 0 + -16
b = 0 + -16

Combine like terms: 0 + -16 = -16
b = -16

Simplifying
b = -16
Solution
b = {-25, -16}