(s+36)(s+64)=0

Solution for (s+36)(s+64)=0 equation:

Simplifying
(s + 36)(s + 64) = 0

Reorder the terms:
(36 + s)(s + 64) = 0

Reorder the terms:
(36 + s)(64 + s) = 0

Multiply (36 + s) * (64 + s)
(36(64 + s) + s(64 + s)) = 0
((64 * 36 + s * 36) + s(64 + s)) = 0
((2304 + 36s) + s(64 + s)) = 0
(2304 + 36s + (64 * s + s * s)) = 0
(2304 + 36s + (64s + s2)) = 0

Combine like terms: 36s + 64s = 100s
(2304 + 100s + s2) = 0

Solving
2304 + 100s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(64 + s)(36 + s) = 0

Subproblem 1
Set the factor '(64 + s)' equal to zero and attempt to solve:

Simplifying
64 + s = 0

Solving
64 + s = 0

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

Add '-64' to each side of the equation.
64 + -64 + s = 0 + -64

Combine like terms: 64 + -64 = 0
0 + s = 0 + -64
s = 0 + -64

Combine like terms: 0 + -64 = -64
s = -64

Simplifying
s = -64
Subproblem 2
Set the factor '(36 + s)' equal to zero and attempt to solve:

Simplifying
36 + s = 0

Solving
36 + s = 0

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

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

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

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

Simplifying
s = -36
Solution
s = {-64, -36}