4c^2+33c+54=0

Solution for 4c^2+33c+54=0 equation:

Simplifying
4c2 + 33c + 54 = 0

Reorder the terms:
54 + 33c + 4c2 = 0

Solving
54 + 33c + 4c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(6 + c)(9 + 4c) = 0

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

Simplifying
6 + c = 0

Solving
6 + c = 0

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

Add '-6' to each side of the equation.
6 + -6 + c = 0 + -6

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

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

Simplifying
c = -6
Subproblem 2
Set the factor '(9 + 4c)' equal to zero and attempt to solve:

Simplifying
9 + 4c = 0

Solving
9 + 4c = 0

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

Add '-9' to each side of the equation.
9 + -9 + 4c = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 4c = 0 + -9
4c = 0 + -9

Combine like terms: 0 + -9 = -9
4c = -9

Divide each side by '4'.
c = -2.25

Simplifying
c = -2.25
Solution
c = {-6, -2.25}