3s^2+5s-12=0

Solution for 3s^2+5s-12=0 equation:

Simplifying
3s2 + 5s + -12 = 0

Reorder the terms:
-12 + 5s + 3s2 = 0

Solving
-12 + 5s + 3s2 = 0

Solving for variable 's'.

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

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

Simplifying
-3 + -1s = 0

Solving
-3 + -1s = 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 + -1s = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1s = 0 + 3
-1s = 0 + 3

Combine like terms: 0 + 3 = 3
-1s = 3

Divide each side by '-1'.
s = -3

Simplifying
s = -3
Subproblem 2
Set the factor '(4 + -3s)' equal to zero and attempt to solve:

Simplifying
4 + -3s = 0

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

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

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

Divide each side by '-3'.
s = 1.333333333

Simplifying
s = 1.333333333
Solution
s = {-3, 1.333333333}