8c^2-88c+242=0

Solution for 8c^2-88c+242=0 equation:

Simplifying
8c2 + -88c + 242 = 0

Reorder the terms:
242 + -88c + 8c2 = 0

Solving
242 + -88c + 8c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2'.
2(121 + -44c + 4c2) = 0

Factor a trinomial.
2((11 + -2c)(11 + -2c)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(11 + -2c)' equal to zero and attempt to solve:

Simplifying
11 + -2c = 0

Solving
11 + -2c = 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 + -2c = 0 + -11

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

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

Divide each side by '-2'.
c = 5.5

Simplifying
c = 5.5
Subproblem 2
Set the factor '(11 + -2c)' equal to zero and attempt to solve:

Simplifying
11 + -2c = 0

Solving
11 + -2c = 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 + -2c = 0 + -11

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

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

Divide each side by '-2'.
c = 5.5

Simplifying
c = 5.5
Solution
c = {5.5, 5.5}