12c^2+2=11c

Solution for 12c^2+2=11c equation:

Simplifying
12c2 + 2 = 11c

Reorder the terms:
2 + 12c2 = 11c

Solving
2 + 12c2 = 11c

Solving for variable 'c'.

Reorder the terms:
2 + -11c + 12c2 = 11c + -11c

Combine like terms: 11c + -11c = 0
2 + -11c + 12c2 = 0

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

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

Simplifying
1 + -4c = 0

Solving
1 + -4c = 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 + -4c = 0 + -1

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

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

Divide each side by '-4'.
c = 0.25

Simplifying
c = 0.25
Subproblem 2
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
Solution
c = {0.25, 0.6666666667}