8s^2+16s-90=0

Solution for 8s^2+16s-90=0 equation:

Simplifying
8s2 + 16s + -90 = 0

Reorder the terms:
-90 + 16s + 8s2 = 0

Solving
-90 + 16s + 8s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-45 + 8s + 4s2) = 0

Factor a trinomial.
2((-9 + -2s)(5 + -2s)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-9 + -2s)' equal to zero and attempt to solve:

Simplifying
-9 + -2s = 0

Solving
-9 + -2s = 0

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

Add '9' to each side of the equation.
-9 + 9 + -2s = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -2s = 0 + 9
-2s = 0 + 9

Combine like terms: 0 + 9 = 9
-2s = 9

Divide each side by '-2'.
s = -4.5

Simplifying
s = -4.5
Subproblem 2
Set the factor '(5 + -2s)' equal to zero and attempt to solve:

Simplifying
5 + -2s = 0

Solving
5 + -2s = 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 + -2s = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2s = 0 + -5
-2s = 0 + -5

Combine like terms: 0 + -5 = -5
-2s = -5

Divide each side by '-2'.
s = 2.5

Simplifying
s = 2.5
Solution
s = {-4.5, 2.5}