-15s^2+17s+42=

Solution for -15s^2+17s+42= 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}