s^2-3s=2s+14

Solution for s^2-3s=2s+14 equation:

Simplifying
s2 + -3s = 2s + 14

Reorder the terms:
-3s + s2 = 2s + 14

Reorder the terms:
-3s + s2 = 14 + 2s

Solving
-3s + s2 = 14 + 2s

Solving for variable 's'.

Reorder the terms:
-14 + -3s + -2s + s2 = 14 + 2s + -14 + -2s

Combine like terms: -3s + -2s = -5s
-14 + -5s + s2 = 14 + 2s + -14 + -2s

Reorder the terms:
-14 + -5s + s2 = 14 + -14 + 2s + -2s

Combine like terms: 14 + -14 = 0
-14 + -5s + s2 = 0 + 2s + -2s
-14 + -5s + s2 = 2s + -2s

Combine like terms: 2s + -2s = 0
-14 + -5s + s2 = 0

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

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

Simplifying
-2 + -1s = 0

Solving
-2 + -1s = 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 + -1s = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1s = 0 + 2
-1s = 0 + 2

Combine like terms: 0 + 2 = 2
-1s = 2

Divide each side by '-1'.
s = -2

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