64w^2-64w-16w+16=

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

Simplifying
64w2 + -64w + -16w + 16 = 0

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

Combine like terms: -64w + -16w = -80w
16 + -80w + 64w2 = 0

Solving
16 + -80w + 64w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '16'.
16(1 + -5w + 4w2) = 0

Factor a trinomial.
16((1 + -4w)(1 + -1w)) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(1 + -4w)' equal to zero and attempt to solve:

Simplifying
1 + -4w = 0

Solving
1 + -4w = 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 + -4w = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4w = 0 + -1
-4w = 0 + -1

Combine like terms: 0 + -1 = -1
-4w = -1

Divide each side by '-4'.
w = 0.25

Simplifying
w = 0.25
Subproblem 2
Set the factor '(1 + -1w)' equal to zero and attempt to solve:

Simplifying
1 + -1w = 0

Solving
1 + -1w = 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 + -1w = 0 + -1

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

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

Divide each side by '-1'.
w = 1

Simplifying
w = 1
Solution
w = {0.25, 1}