28c^2-46c+16=0

Solution for 28c^2-46c+16=0 equation:

Simplifying
28c2 + -46c + 16 = 0

Reorder the terms:
16 + -46c + 28c2 = 0

Solving
16 + -46c + 28c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + -23c + 14c2) = 0

Factor a trinomial.
2((1 + -2c)(8 + -7c)) = 0

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

Simplifying
1 + -2c = 0

Solving
1 + -2c = 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 + -2c = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2c = 0 + -1
-2c = 0 + -1

Combine like terms: 0 + -1 = -1
-2c = -1

Divide each side by '-2'.
c = 0.5

Simplifying
c = 0.5
Subproblem 2
Set the factor '(8 + -7c)' equal to zero and attempt to solve:

Simplifying
8 + -7c = 0

Solving
8 + -7c = 0

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

Add '-8' to each side of the equation.
8 + -8 + -7c = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7c = 0 + -8
-7c = 0 + -8

Combine like terms: 0 + -8 = -8
-7c = -8

Divide each side by '-7'.
c = 1.142857143

Simplifying
c = 1.142857143
Solution
c = {0.5, 1.142857143}