16c^2-10c+1=0

Solution for 16c^2-10c+1=0 equation:

Simplifying
16c2 + -10c + 1 = 0

Reorder the terms:
1 + -10c + 16c2 = 0

Solving
1 + -10c + 16c2 = 0

Solving for variable 'c'.

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

Subproblem 1
Set the factor '(1 + -8c)' equal to zero and attempt to solve:

Simplifying
1 + -8c = 0

Solving
1 + -8c = 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 + -8c = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8c = 0 + -1
-8c = 0 + -1

Combine like terms: 0 + -1 = -1
-8c = -1

Divide each side by '-8'.
c = 0.125

Simplifying
c = 0.125
Subproblem 2
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
Solution
c = {0.125, 0.5}