2s^2-5s-12=0

Solution for 2s^2-5s-12=0 equation:

Simplifying
2s2 + -5s + -12 = 0

Reorder the terms:
-12 + -5s + 2s2 = 0

Solving
-12 + -5s + 2s2 = 0

Solving for variable 's'.

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

Subproblem 1
Set the factor '(-3 + -2s)' equal to zero and attempt to solve:

Simplifying
-3 + -2s = 0

Solving
-3 + -2s = 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 + -2s = 0 + 3

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

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

Divide each side by '-2'.
s = -1.5

Simplifying
s = -1.5
Subproblem 2
Set the factor '(4 + -1s)' equal to zero and attempt to solve:

Simplifying
4 + -1s = 0

Solving
4 + -1s = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1s = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1s = 0 + -4
-1s = 0 + -4

Combine like terms: 0 + -4 = -4
-1s = -4

Divide each side by '-1'.
s = 4

Simplifying
s = 4
Solution
s = {-1.5, 4}