(s+5)(s-3)=

Solution for (s+5)(s-3)= equation:

Simplifying
(s + 5)(s + -3) = 0

Reorder the terms:
(5 + s)(s + -3) = 0

Reorder the terms:
(5 + s)(-3 + s) = 0

Multiply (5 + s) * (-3 + s)
(5(-3 + s) + s(-3 + s)) = 0
((-3 * 5 + s * 5) + s(-3 + s)) = 0
((-15 + 5s) + s(-3 + s)) = 0
(-15 + 5s + (-3 * s + s * s)) = 0
(-15 + 5s + (-3s + s2)) = 0

Combine like terms: 5s + -3s = 2s
(-15 + 2s + s2) = 0

Solving
-15 + 2s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-5 + -1s)(3 + -1s) = 0

Subproblem 1
Set the factor '(-5 + -1s)' equal to zero and attempt to solve:

Simplifying
-5 + -1s = 0

Solving
-5 + -1s = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1s = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1s = 0 + 5
-1s = 0 + 5

Combine like terms: 0 + 5 = 5
-1s = 5

Divide each side by '-1'.
s = -5

Simplifying
s = -5
Subproblem 2
Set the factor '(3 + -1s)' equal to zero and attempt to solve:

Simplifying
3 + -1s = 0

Solving
3 + -1s = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1s = 0 + -3
-1s = 0 + -3

Combine like terms: 0 + -3 = -3
-1s = -3

Divide each side by '-1'.
s = 3

Simplifying
s = 3
Solution
s = {-5, 3}