5s^2-14s-3=0

Solution for 5s^2-14s-3=0 equation:

Simplifying
5s2 + -14s + -3 = 0

Reorder the terms:
-3 + -14s + 5s2 = 0

Solving
-3 + -14s + 5s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-1 + -5s)(3 + -1s) = 0

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

Simplifying
-1 + -5s = 0

Solving
-1 + -5s = 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 + -5s = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -5s = 0 + 1
-5s = 0 + 1

Combine like terms: 0 + 1 = 1
-5s = 1

Divide each side by '-5'.
s = -0.2

Simplifying
s = -0.2
Subproblem 2
Set the factor '(3 + -1s)' equal to zero and attempt to solve:

Simplifying
3 + -1s = 0

Solving
3 + -1s = 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 + -1s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1s = 0 + -3
-1s = 0 + -3

Combine like terms: 0 + -3 = -3
-1s = -3

Divide each side by '-1'.
s = 3

Simplifying
s = 3
Solution
s = {-0.2, 3}