(s+10)*(s-8)=

Solution for (s+10)*(s-8)= equation:

Simplifying
(s + 10)(s + -8) = 0

Reorder the terms:
(10 + s)(s + -8) = 0

Reorder the terms:
(10 + s)(-8 + s) = 0

Multiply (10 + s) * (-8 + s)
(10(-8 + s) + s(-8 + s)) = 0
((-8 * 10 + s * 10) + s(-8 + s)) = 0
((-80 + 10s) + s(-8 + s)) = 0
(-80 + 10s + (-8 * s + s * s)) = 0
(-80 + 10s + (-8s + s2)) = 0

Combine like terms: 10s + -8s = 2s
(-80 + 2s + s2) = 0

Solving
-80 + 2s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-10 + -1s)(8 + -1s) = 0

Subproblem 1
Set the factor '(-10 + -1s)' equal to zero and attempt to solve:

Simplifying
-10 + -1s = 0

Solving
-10 + -1s = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1s = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1s = 0 + 10
-1s = 0 + 10

Combine like terms: 0 + 10 = 10
-1s = 10

Divide each side by '-1'.
s = -10

Simplifying
s = -10
Subproblem 2
Set the factor '(8 + -1s)' equal to zero and attempt to solve:

Simplifying
8 + -1s = 0

Solving
8 + -1s = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1s = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1s = 0 + -8
-1s = 0 + -8

Combine like terms: 0 + -8 = -8
-1s = -8

Divide each side by '-1'.
s = 8

Simplifying
s = 8
Solution
s = {-10, 8}