6c^2-3c-1=2c

Solution for 6c^2-3c-1=2c equation:

Simplifying
6c2 + -3c + -1 = 2c

Reorder the terms:
-1 + -3c + 6c2 = 2c

Solving
-1 + -3c + 6c2 = 2c

Solving for variable 'c'.

Reorder the terms:
-1 + -3c + -2c + 6c2 = 2c + -2c

Combine like terms: -3c + -2c = -5c
-1 + -5c + 6c2 = 2c + -2c

Combine like terms: 2c + -2c = 0
-1 + -5c + 6c2 = 0

Factor a trinomial.
(-1 + -6c)(1 + -1c) = 0

Subproblem 1
Set the factor '(-1 + -6c)' equal to zero and attempt to solve:

Simplifying
-1 + -6c = 0

Solving
-1 + -6c = 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 + -6c = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -6c = 0 + 1
-6c = 0 + 1

Combine like terms: 0 + 1 = 1
-6c = 1

Divide each side by '-6'.
c = -0.1666666667

Simplifying
c = -0.1666666667
Subproblem 2
Set the factor '(1 + -1c)' equal to zero and attempt to solve:

Simplifying
1 + -1c = 0

Solving
1 + -1c = 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 + -1c = 0 + -1

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

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

Divide each side by '-1'.
c = 1

Simplifying
c = 1
Solution
c = {-0.1666666667, 1}