8s^2+14s=15

Solution for 8s^2+14s=15 equation:

Simplifying
8s2 + 14s = 15

Reorder the terms:
14s + 8s2 = 15

Solving
14s + 8s2 = 15

Solving for variable 's'.

Reorder the terms:
-15 + 14s + 8s2 = 15 + -15

Combine like terms: 15 + -15 = 0
-15 + 14s + 8s2 = 0

Factor a trinomial.
(-5 + -2s)(3 + -4s) = 0

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

Simplifying
-5 + -2s = 0

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

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

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

Divide each side by '-2'.
s = -2.5

Simplifying
s = -2.5
Subproblem 2
Set the factor '(3 + -4s)' equal to zero and attempt to solve:

Simplifying
3 + -4s = 0

Solving
3 + -4s = 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 + -4s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4s = 0 + -3
-4s = 0 + -3

Combine like terms: 0 + -3 = -3
-4s = -3

Divide each side by '-4'.
s = 0.75

Simplifying
s = 0.75
Solution
s = {-2.5, 0.75}