3c^2-2c-33=0

Solution for 3c^2-2c-33=0 equation:

Simplifying
3c2 + -2c + -33 = 0

Reorder the terms:
-33 + -2c + 3c2 = 0

Solving
-33 + -2c + 3c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-3 + -1c)(11 + -3c) = 0

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

Simplifying
-3 + -1c = 0

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

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

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

Divide each side by '-1'.
c = -3

Simplifying
c = -3
Subproblem 2
Set the factor '(11 + -3c)' equal to zero and attempt to solve:

Simplifying
11 + -3c = 0

Solving
11 + -3c = 0

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

Add '-11' to each side of the equation.
11 + -11 + -3c = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -3c = 0 + -11
-3c = 0 + -11

Combine like terms: 0 + -11 = -11
-3c = -11

Divide each side by '-3'.
c = 3.666666667

Simplifying
c = 3.666666667
Solution
c = {-3, 3.666666667}