6s^2+s=2

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

Simplifying
6s2 + s = 2

Reorder the terms:
s + 6s2 = 2

Solving
s + 6s2 = 2

Solving for variable 's'.

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

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

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

Subproblem 1
Set the factor '(-2 + -3s)' equal to zero and attempt to solve:

Simplifying
-2 + -3s = 0

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

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

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

Divide each side by '-3'.
s = -0.6666666667

Simplifying
s = -0.6666666667
Subproblem 2
Set the factor '(1 + -2s)' equal to zero and attempt to solve:

Simplifying
1 + -2s = 0

Solving
1 + -2s = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2s = 0 + -1

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

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

Divide each side by '-2'.
s = 0.5

Simplifying
s = 0.5
Solution
s = {-0.6666666667, 0.5}