3*s^2+s-2=0

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

Simplifying
3s2 + s + -2 = 0

Reorder the terms:
-2 + s + 3s2 = 0

Solving
-2 + s + 3s2 = 0

Solving for variable 's'.

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

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 '(2 + -3s)' equal to zero and attempt to solve:

Simplifying
2 + -3s = 0

Solving
2 + -3s = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3s = 0 + -2

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

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

Divide each side by '-3'.
s = 0.6666666667

Simplifying
s = 0.6666666667
Solution
s = {-1, 0.6666666667}