16a^2-10a+1=0

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

Simplifying
16a2 + -10a + 1 = 0

Reorder the terms:
1 + -10a + 16a2 = 0

Solving
1 + -10a + 16a2 = 0

Solving for variable 'a'.

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

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

Simplifying
1 + -8a = 0

Solving
1 + -8a = 0

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

Add '-1' to each side of the equation.
1 + -1 + -8a = 0 + -1

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

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

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

Simplifying
a = 0.125
Subproblem 2
Set the factor '(1 + -2a)' equal to zero and attempt to solve:

Simplifying
1 + -2a = 0

Solving
1 + -2a = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2a = 0 + -1

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

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

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

Simplifying
a = 0.5
Solution
a = {0.125, 0.5}