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

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

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

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

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

Multiply (32 + r) * (-36 + r)
(32(-36 + r) + r(-36 + r)) = 0
((-36 * 32 + r * 32) + r(-36 + r)) = 0
((-1152 + 32r) + r(-36 + r)) = 0
(-1152 + 32r + (-36 * r + r * r)) = 0
(-1152 + 32r + (-36r + r2)) = 0

Combine like terms: 32r + -36r = -4r
(-1152 + -4r + r2) = 0

Solving
-1152 + -4r + r2 = 0

Solving for variable 'r'.

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

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

Simplifying
-32 + -1r = 0

Solving
-32 + -1r = 0

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

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

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

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

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

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

Simplifying
36 + -1r = 0

Solving
36 + -1r = 0

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

Add '-36' to each side of the equation.
36 + -36 + -1r = 0 + -36

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

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

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

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