3s^2+12=12s

Solution for 3s^2+12=12s equation:

Simplifying
3s2 + 12 = 12s

Reorder the terms:
12 + 3s2 = 12s

Solving
12 + 3s2 = 12s

Solving for variable 's'.

Reorder the terms:
12 + -12s + 3s2 = 12s + -12s

Combine like terms: 12s + -12s = 0
12 + -12s + 3s2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(4 + -4s + s2) = 0

Factor a trinomial.
3((2 + -1s)(2 + -1s)) = 0

Ignore the factor 3.
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 '(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
Solution
s = {2, 2}