(b+32)(b-36)=0

Solution for (b+32)(b-36)=0 equation:

Simplifying
(b + 32)(b + -36) = 0

Reorder the terms:
(32 + b)(b + -36) = 0

Reorder the terms:
(32 + b)(-36 + b) = 0

Multiply (32 + b) * (-36 + b)
(32(-36 + b) + b(-36 + b)) = 0
((-36 * 32 + b * 32) + b(-36 + b)) = 0
((-1152 + 32b) + b(-36 + b)) = 0
(-1152 + 32b + (-36 * b + b * b)) = 0
(-1152 + 32b + (-36b + b2)) = 0

Combine like terms: 32b + -36b = -4b
(-1152 + -4b + b2) = 0

Solving
-1152 + -4b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-32 + -1b)(36 + -1b) = 0

Subproblem 1
Set the factor '(-32 + -1b)' equal to zero and attempt to solve:

Simplifying
-32 + -1b = 0

Solving
-32 + -1b = 0

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

Add '32' to each side of the equation.
-32 + 32 + -1b = 0 + 32

Combine like terms: -32 + 32 = 0
0 + -1b = 0 + 32
-1b = 0 + 32

Combine like terms: 0 + 32 = 32
-1b = 32

Divide each side by '-1'.
b = -32

Simplifying
b = -32
Subproblem 2
Set the factor '(36 + -1b)' equal to zero and attempt to solve:

Simplifying
36 + -1b = 0

Solving
36 + -1b = 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 + -1b = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -1b = 0 + -36
-1b = 0 + -36

Combine like terms: 0 + -36 = -36
-1b = -36

Divide each side by '-1'.
b = 36

Simplifying
b = 36
Solution
b = {-32, 36}