2s^2-10s-12=0

Solution for 2s^2-10s-12=0 equation:

Simplifying
2s2 + -10s + -12 = 0

Reorder the terms:
-12 + -10s + 2s2 = 0

Solving
-12 + -10s + 2s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + -5s + s2) = 0

Factor a trinomial.
2((-1 + -1s)(6 + -1s)) = 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 '(6 + -1s)' equal to zero and attempt to solve:

Simplifying
6 + -1s = 0

Solving
6 + -1s = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1s = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1s = 0 + -6
-1s = 0 + -6

Combine like terms: 0 + -6 = -6
-1s = -6

Divide each side by '-1'.
s = 6

Simplifying
s = 6
Solution
s = {-1, 6}