64w^2-16w+1=

Solution for 64w^2-16w+1= equation:

Simplifying
64w2 + -16w + 1 = 0

Reorder the terms:
1 + -16w + 64w2 = 0

Solving
1 + -16w + 64w2 = 0

Solving for variable 'w'.

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

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

Simplifying
1 + -8w = 0

Solving
1 + -8w = 0

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

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

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

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

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

Simplifying
w = 0.125
Subproblem 2
Set the factor '(1 + -8w)' equal to zero and attempt to solve:

Simplifying
1 + -8w = 0

Solving
1 + -8w = 0

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

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

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

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

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

Simplifying
w = 0.125
Solution
w = {0.125, 0.125}