2s^2=12-5s

Solution for 2s^2=12-5s equation:

Simplifying
2s2 = 12 + -5s

Solving
2s2 = 12 + -5s

Solving for variable 's'.

Reorder the terms:
-12 + 5s + 2s2 = 12 + -5s + -12 + 5s

Reorder the terms:
-12 + 5s + 2s2 = 12 + -12 + -5s + 5s

Combine like terms: 12 + -12 = 0
-12 + 5s + 2s2 = 0 + -5s + 5s
-12 + 5s + 2s2 = -5s + 5s

Combine like terms: -5s + 5s = 0
-12 + 5s + 2s2 = 0

Factor a trinomial.
(-4 + -1s)(3 + -2s) = 0

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

Simplifying
-4 + -1s = 0

Solving
-4 + -1s = 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 + -1s = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1s = 0 + 4
-1s = 0 + 4

Combine like terms: 0 + 4 = 4
-1s = 4

Divide each side by '-1'.
s = -4

Simplifying
s = -4
Subproblem 2
Set the factor '(3 + -2s)' equal to zero and attempt to solve:

Simplifying
3 + -2s = 0

Solving
3 + -2s = 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 + -2s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2s = 0 + -3
-2s = 0 + -3

Combine like terms: 0 + -3 = -3
-2s = -3

Divide each side by '-2'.
s = 1.5

Simplifying
s = 1.5
Solution
s = {-4, 1.5}