30s^2-13s-3=0

Solution for 30s^2-13s-3=0 equation:

Simplifying
30s2 + -13s + -3 = 0

Reorder the terms:
-3 + -13s + 30s2 = 0

Solving
-3 + -13s + 30s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-1 + -6s)(3 + -5s) = 0

Subproblem 1
Set the factor '(-1 + -6s)' equal to zero and attempt to solve:

Simplifying
-1 + -6s = 0

Solving
-1 + -6s = 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 + -6s = 0 + 1

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

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

Divide each side by '-6'.
s = -0.1666666667

Simplifying
s = -0.1666666667
Subproblem 2
Set the factor '(3 + -5s)' equal to zero and attempt to solve:

Simplifying
3 + -5s = 0

Solving
3 + -5s = 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 + -5s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5s = 0 + -3
-5s = 0 + -3

Combine like terms: 0 + -3 = -3
-5s = -3

Divide each side by '-5'.
s = 0.6

Simplifying
s = 0.6
Solution
s = {-0.1666666667, 0.6}