-8s^2-2s=-3

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

Simplifying
-8s2 + -2s = -3

Reorder the terms:
-2s + -8s2 = -3

Solving
-2s + -8s2 = -3

Solving for variable 's'.

Reorder the terms:
3 + -2s + -8s2 = -3 + 3

Combine like terms: -3 + 3 = 0
3 + -2s + -8s2 = 0

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

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 '(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
Solution
s = {0.5, -0.75}