15s^2+17s-42=0

Solution for 15s^2+17s-42=0 equation:

Simplifying
15s2 + 17s + -42 = 0

Reorder the terms:
-42 + 17s + 15s2 = 0

Solving
-42 + 17s + 15s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-7 + -3s)(6 + -5s) = 0

Subproblem 1
Set the factor '(-7 + -3s)' equal to zero and attempt to solve:

Simplifying
-7 + -3s = 0

Solving
-7 + -3s = 0

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

Add '7' to each side of the equation.
-7 + 7 + -3s = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3s = 0 + 7
-3s = 0 + 7

Combine like terms: 0 + 7 = 7
-3s = 7

Divide each side by '-3'.
s = -2.333333333

Simplifying
s = -2.333333333
Subproblem 2
Set the factor '(6 + -5s)' equal to zero and attempt to solve:

Simplifying
6 + -5s = 0

Solving
6 + -5s = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5s = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5s = 0 + -6
-5s = 0 + -6

Combine like terms: 0 + -6 = -6
-5s = -6

Divide each side by '-5'.
s = 1.2

Simplifying
s = 1.2
Solution
s = {-2.333333333, 1.2}