12+11s=5s^2

Solution for 12+11s=5s^2 equation:

Simplifying
12 + 11s = 5s2

Solving
12 + 11s = 5s2

Solving for variable 's'.

Combine like terms: 5s2 + -5s2 = 0
12 + 11s + -5s2 = 0

Factor a trinomial.
(3 + -1s)(4 + 5s) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(4 + 5s)' equal to zero and attempt to solve:

Simplifying
4 + 5s = 0

Solving
4 + 5s = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5s = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5s = 0 + -4
5s = 0 + -4

Combine like terms: 0 + -4 = -4
5s = -4

Divide each side by '5'.
s = -0.8

Simplifying
s = -0.8
Solution
s = {3, -0.8}