(s-36)(s+49)=0

Solution for (s-36)(s+49)=0 equation:

Simplifying
(s + -36)(s + 49) = 0

Reorder the terms:
(-36 + s)(s + 49) = 0

Reorder the terms:
(-36 + s)(49 + s) = 0

Multiply (-36 + s) * (49 + s)
(-36(49 + s) + s(49 + s)) = 0
((49 * -36 + s * -36) + s(49 + s)) = 0
((-1764 + -36s) + s(49 + s)) = 0
(-1764 + -36s + (49 * s + s * s)) = 0
(-1764 + -36s + (49s + s2)) = 0

Combine like terms: -36s + 49s = 13s
(-1764 + 13s + s2) = 0

Solving
-1764 + 13s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-49 + -1s)(36 + -1s) = 0

Subproblem 1
Set the factor '(-49 + -1s)' equal to zero and attempt to solve:

Simplifying
-49 + -1s = 0

Solving
-49 + -1s = 0

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

Add '49' to each side of the equation.
-49 + 49 + -1s = 0 + 49

Combine like terms: -49 + 49 = 0
0 + -1s = 0 + 49
-1s = 0 + 49

Combine like terms: 0 + 49 = 49
-1s = 49

Divide each side by '-1'.
s = -49

Simplifying
s = -49
Subproblem 2
Set the factor '(36 + -1s)' equal to zero and attempt to solve:

Simplifying
36 + -1s = 0

Solving
36 + -1s = 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 + -1s = 0 + -36

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

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

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

Simplifying
s = 36
Solution
s = {-49, 36}