20s^2+30s-90=0

Solution for 20s^2+30s-90=0 equation:

Simplifying
20s2 + 30s + -90 = 0

Reorder the terms:
-90 + 30s + 20s2 = 0

Solving
-90 + 30s + 20s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '10'.
10(-9 + 3s + 2s2) = 0

Factor a trinomial.
10((-3 + -1s)(3 + -2s)) = 0

Ignore the factor 10.
Subproblem 1
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
Subproblem 2
Set the factor '(3 + -2s)' equal to zero and attempt to solve:

Simplifying
3 + -2s = 0

Solving
3 + -2s = 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 + -2s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2s = 0 + -3
-2s = 0 + -3

Combine like terms: 0 + -3 = -3
-2s = -3

Divide each side by '-2'.
s = 1.5

Simplifying
s = 1.5
Solution
s = {-3, 1.5}