8s^2=20+36s

Solution for 8s^2=20+36s equation:

Simplifying
8s2 = 20 + 36s

Solving
8s2 = 20 + 36s

Solving for variable 's'.

Reorder the terms:
-20 + -36s + 8s2 = 20 + 36s + -20 + -36s

Reorder the terms:
-20 + -36s + 8s2 = 20 + -20 + 36s + -36s

Combine like terms: 20 + -20 = 0
-20 + -36s + 8s2 = 0 + 36s + -36s
-20 + -36s + 8s2 = 36s + -36s

Combine like terms: 36s + -36s = 0
-20 + -36s + 8s2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-5 + -9s + 2s2) = 0

Factor a trinomial.
4((-1 + -2s)(5 + -1s)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-1 + -2s)' equal to zero and attempt to solve:

Simplifying
-1 + -2s = 0

Solving
-1 + -2s = 0

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

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

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

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

Divide each side by '-2'.
s = -0.5

Simplifying
s = -0.5
Subproblem 2
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
Solution
s = {-0.5, 5}