12c^2=13c-3

Solution for 12c^2=13c-3 equation:

Simplifying
12c2 = 13c + -3

Reorder the terms:
12c2 = -3 + 13c

Solving
12c2 = -3 + 13c

Solving for variable 'c'.

Reorder the terms:
3 + -13c + 12c2 = -3 + 13c + 3 + -13c

Reorder the terms:
3 + -13c + 12c2 = -3 + 3 + 13c + -13c

Combine like terms: -3 + 3 = 0
3 + -13c + 12c2 = 0 + 13c + -13c
3 + -13c + 12c2 = 13c + -13c

Combine like terms: 13c + -13c = 0
3 + -13c + 12c2 = 0

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

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

Simplifying
1 + -3c = 0

Solving
1 + -3c = 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 + -3c = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3c = 0 + -1
-3c = 0 + -1

Combine like terms: 0 + -1 = -1
-3c = -1

Divide each side by '-3'.
c = 0.3333333333

Simplifying
c = 0.3333333333
Subproblem 2
Set the factor '(3 + -4c)' equal to zero and attempt to solve:

Simplifying
3 + -4c = 0

Solving
3 + -4c = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4c = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4c = 0 + -3
-4c = 0 + -3

Combine like terms: 0 + -3 = -3
-4c = -3

Divide each side by '-4'.
c = 0.75

Simplifying
c = 0.75
Solution
c = {0.3333333333, 0.75}