8s^2+6+2s-12=

Solution for 8s^2+6+2s-12= equation:

Simplifying
8s2 + 6 + 2s + -12 = 0

Reorder the terms:
6 + -12 + 2s + 8s2 = 0

Combine like terms: 6 + -12 = -6
-6 + 2s + 8s2 = 0

Solving
-6 + 2s + 8s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + s + 4s2) = 0

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

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

Simplifying
-1 + -1s = 0

Solving
-1 + -1s = 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 + -1s = 0 + 1

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

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

Divide each side by '-1'.
s = -1

Simplifying
s = -1
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 = {-1, 0.75}