6c^2+c=2

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

Simplifying
6c2 + c = 2

Reorder the terms:
c + 6c2 = 2

Solving
c + 6c2 = 2

Solving for variable 'c'.

Reorder the terms:
-2 + c + 6c2 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + c + 6c2 = 0

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

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

Simplifying
-2 + -3c = 0

Solving
-2 + -3c = 0

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

Add '2' to each side of the equation.
-2 + 2 + -3c = 0 + 2

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

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

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

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

Simplifying
1 + -2c = 0

Solving
1 + -2c = 0

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

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

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

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

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

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