-8s^2-3=-10s

Solution for -8s^2-3=-10s equation:

Simplifying
-8s2 + -3 = -10s

Reorder the terms:
-3 + -8s2 = -10s

Solving
-3 + -8s2 = -10s

Solving for variable 's'.

Reorder the terms:
-3 + 10s + -8s2 = -10s + 10s

Combine like terms: -10s + 10s = 0
-3 + 10s + -8s2 = 0

Factor a trinomial.
(-3 + 4s)(1 + -2s) = 0

Subproblem 1
Set the factor '(-3 + 4s)' equal to zero and attempt to solve:

Simplifying
-3 + 4s = 0

Solving
-3 + 4s = 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 + 4s = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 4s = 0 + 3
4s = 0 + 3

Combine like terms: 0 + 3 = 3
4s = 3

Divide each side by '4'.
s = 0.75

Simplifying
s = 0.75
Subproblem 2
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
Solution
s = {0.75, 0.5}