28c^2-66c+36=0

Solution for 28c^2-66c+36=0 equation:

Simplifying
28c2 + -66c + 36 = 0

Reorder the terms:
36 + -66c + 28c2 = 0

Solving
36 + -66c + 28c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2'.
2(18 + -33c + 14c2) = 0

Factor a trinomial.
2((6 + -7c)(3 + -2c)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(6 + -7c)' equal to zero and attempt to solve:

Simplifying
6 + -7c = 0

Solving
6 + -7c = 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 + -7c = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7c = 0 + -6
-7c = 0 + -6

Combine like terms: 0 + -6 = -6
-7c = -6

Divide each side by '-7'.
c = 0.8571428571

Simplifying
c = 0.8571428571
Subproblem 2
Set the factor '(3 + -2c)' equal to zero and attempt to solve:

Simplifying
3 + -2c = 0

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

Combine like terms: 3 + -3 = 0
0 + -2c = 0 + -3
-2c = 0 + -3

Combine like terms: 0 + -3 = -3
-2c = -3

Divide each side by '-2'.
c = 1.5

Simplifying
c = 1.5
Solution
c = {0.8571428571, 1.5}