s^2+14s-15=0

Solution for s^2+14s-15=0 equation:

Simplifying
s2 + 14s + -15 = 0

Reorder the terms:
-15 + 14s + s2 = 0

Solving
-15 + 14s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-15 + -1s)(1 + -1s) = 0

Subproblem 1
Set the factor '(-15 + -1s)' equal to zero and attempt to solve:

Simplifying
-15 + -1s = 0

Solving
-15 + -1s = 0

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

Add '15' to each side of the equation.
-15 + 15 + -1s = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -1s = 0 + 15
-1s = 0 + 15

Combine like terms: 0 + 15 = 15
-1s = 15

Divide each side by '-1'.
s = -15

Simplifying
s = -15
Subproblem 2
Set the factor '(1 + -1s)' equal to zero and attempt to solve:

Simplifying
1 + -1s = 0

Solving
1 + -1s = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1s = 0 + -1
-1s = 0 + -1

Combine like terms: 0 + -1 = -1
-1s = -1

Divide each side by '-1'.
s = 1

Simplifying
s = 1
Solution
s = {-15, 1}