(w-8)(w-8)=64

Solution for (w-8)(w-8)=64 equation:

Simplifying
(w + -8)(w + -8) = 64

Reorder the terms:
(-8 + w)(w + -8) = 64

Reorder the terms:
(-8 + w)(-8 + w) = 64

Multiply (-8 + w) * (-8 + w)
(-8(-8 + w) + w(-8 + w)) = 64
((-8 * -8 + w * -8) + w(-8 + w)) = 64
((64 + -8w) + w(-8 + w)) = 64
(64 + -8w + (-8 * w + w * w)) = 64
(64 + -8w + (-8w + w2)) = 64

Combine like terms: -8w + -8w = -16w
(64 + -16w + w2) = 64

Add '-64' to each side of the equation.
64 + -16w + -64 + w2 = 64 + -64

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

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

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

Solving
-16w + w2 = 0

Solving for variable 'w'.

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

Subproblem 1
Set the factor 'w' equal to zero and attempt to solve:

Simplifying
w = 0

Solving
w = 0

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

Simplifying
w = 0
Subproblem 2
Set the factor '(-16 + w)' equal to zero and attempt to solve:

Simplifying
-16 + w = 0

Solving
-16 + w = 0

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

Add '16' to each side of the equation.
-16 + 16 + w = 0 + 16

Combine like terms: -16 + 16 = 0
0 + w = 0 + 16
w = 0 + 16

Combine like terms: 0 + 16 = 16
w = 16

Simplifying
w = 16
Solution
w = {0, 16}