15s^2-4s-4=0

Solution for 15s^2-4s-4=0 equation:

Simplifying
15s2 + -4s + -4 = 0

Reorder the terms:
-4 + -4s + 15s2 = 0

Solving
-4 + -4s + 15s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-2 + -5s)(2 + -3s) = 0

Subproblem 1
Set the factor '(-2 + -5s)' equal to zero and attempt to solve:

Simplifying
-2 + -5s = 0

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

Combine like terms: -2 + 2 = 0
0 + -5s = 0 + 2
-5s = 0 + 2

Combine like terms: 0 + 2 = 2
-5s = 2

Divide each side by '-5'.
s = -0.4

Simplifying
s = -0.4
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 = {-0.4, 0.6666666667}