s^2=4s+12

Solution for s^2=4s+12 equation:

Simplifying
s2 = 4s + 12

Reorder the terms:
s2 = 12 + 4s

Solving
s2 = 12 + 4s

Solving for variable 's'.

Reorder the terms:
-12 + -4s + s2 = 12 + 4s + -12 + -4s

Reorder the terms:
-12 + -4s + s2 = 12 + -12 + 4s + -4s

Combine like terms: 12 + -12 = 0
-12 + -4s + s2 = 0 + 4s + -4s
-12 + -4s + s2 = 4s + -4s

Combine like terms: 4s + -4s = 0
-12 + -4s + s2 = 0

Factor a trinomial.
(-2 + -1s)(6 + -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 '(6 + -1s)' equal to zero and attempt to solve:

Simplifying
6 + -1s = 0

Solving
6 + -1s = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1s = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1s = 0 + -6
-1s = 0 + -6

Combine like terms: 0 + -6 = -6
-1s = -6

Divide each side by '-1'.
s = 6

Simplifying
s = 6
Solution
s = {-2, 6}