2s^2=s+6

Solution for 2s^2=s+6 equation:

Simplifying
2s2 = s + 6

Reorder the terms:
2s2 = 6 + s

Solving
2s2 = 6 + s

Solving for variable 's'.

Reorder the terms:
-6 + -1s + 2s2 = 6 + s + -6 + -1s

Reorder the terms:
-6 + -1s + 2s2 = 6 + -6 + s + -1s

Combine like terms: 6 + -6 = 0
-6 + -1s + 2s2 = 0 + s + -1s
-6 + -1s + 2s2 = s + -1s

Combine like terms: s + -1s = 0
-6 + -1s + 2s2 = 0

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

Subproblem 1
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
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 = {-1.5, 2}