s^2+8s-20=0

Solution for s^2+8s-20=0 equation:

Simplifying
s2 + 8s + -20 = 0

Reorder the terms:
-20 + 8s + s2 = 0

Solving
-20 + 8s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-10 + -1s)(2 + -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 '(2 + -1s)' equal to zero and attempt to solve:

Simplifying
2 + -1s = 0

Solving
2 + -1s = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1s = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1s = 0 + -2
-1s = 0 + -2

Combine like terms: 0 + -2 = -2
-1s = -2

Divide each side by '-1'.
s = 2

Simplifying
s = 2
Solution
s = {-10, 2}