56s^2-19s-15=

Solution for 56s^2-19s-15= equation:

Simplifying
56s2 + -19s + -15 = 0

Reorder the terms:
-15 + -19s + 56s2 = 0

Solving
-15 + -19s + 56s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-3 + -8s)(5 + -7s) = 0

Subproblem 1
Set the factor '(-3 + -8s)' equal to zero and attempt to solve:

Simplifying
-3 + -8s = 0

Solving
-3 + -8s = 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 + -8s = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -8s = 0 + 3
-8s = 0 + 3

Combine like terms: 0 + 3 = 3
-8s = 3

Divide each side by '-8'.
s = -0.375

Simplifying
s = -0.375
Subproblem 2
Set the factor '(5 + -7s)' equal to zero and attempt to solve:

Simplifying
5 + -7s = 0

Solving
5 + -7s = 0

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

Add '-5' to each side of the equation.
5 + -5 + -7s = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -7s = 0 + -5
-7s = 0 + -5

Combine like terms: 0 + -5 = -5
-7s = -5

Divide each side by '-7'.
s = 0.7142857143

Simplifying
s = 0.7142857143
Solution
s = {-0.375, 0.7142857143}