b(b+5)=36

Solution for b(b+5)=36 equation:

Simplifying
b(b + 5) = 36

Reorder the terms:
b(5 + b) = 36
(5 * b + b * b) = 36
(5b + b2) = 36

Solving
5b + b2 = 36

Solving for variable 'b'.

Reorder the terms:
-36 + 5b + b2 = 36 + -36

Combine like terms: 36 + -36 = 0
-36 + 5b + b2 = 0

Factor a trinomial.
(-9 + -1b)(4 + -1b) = 0

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

Simplifying
-9 + -1b = 0

Solving
-9 + -1b = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1b = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1b = 0 + 9
-1b = 0 + 9

Combine like terms: 0 + 9 = 9
-1b = 9

Divide each side by '-1'.
b = -9

Simplifying
b = -9
Subproblem 2
Set the factor '(4 + -1b)' equal to zero and attempt to solve:

Simplifying
4 + -1b = 0

Solving
4 + -1b = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1b = 0 + -4
-1b = 0 + -4

Combine like terms: 0 + -4 = -4
-1b = -4

Divide each side by '-1'.
b = 4

Simplifying
b = 4
Solution
b = {-9, 4}