14=s(s-5)

Solution for 14=s(s-5) equation:

Simplifying
14 = s(s + -5)

Reorder the terms:
14 = s(-5 + s)
14 = (-5 * s + s * s)
14 = (-5s + s2)

Solving
14 = -5s + s2

Solving for variable 's'.

Reorder the terms:
14 + 5s + -1s2 = -5s + 5s + s2 + -1s2

Combine like terms: -5s + 5s = 0
14 + 5s + -1s2 = 0 + s2 + -1s2
14 + 5s + -1s2 = s2 + -1s2

Combine like terms: s2 + -1s2 = 0
14 + 5s + -1s2 = 0

Factor a trinomial.
(7 + -1s)(2 + s) = 0

Subproblem 1
Set the factor '(7 + -1s)' equal to zero and attempt to solve:

Simplifying
7 + -1s = 0

Solving
7 + -1s = 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 + -1s = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1s = 0 + -7
-1s = 0 + -7

Combine like terms: 0 + -7 = -7
-1s = -7

Divide each side by '-1'.
s = 7

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

Simplifying
2 + s = 0

Solving
2 + s = 0

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

Add '-2' to each side of the equation.
2 + -2 + s = 0 + -2

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

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

Simplifying
s = -2
Solution
s = {7, -2}