(w-4)(w+64)=0

Solution for (w-4)(w+64)=0 equation:

Simplifying
(w + -4)(w + 64) = 0

Reorder the terms:
(-4 + w)(w + 64) = 0

Reorder the terms:
(-4 + w)(64 + w) = 0

Multiply (-4 + w) * (64 + w)
(-4(64 + w) + w(64 + w)) = 0
((64 * -4 + w * -4) + w(64 + w)) = 0
((-256 + -4w) + w(64 + w)) = 0
(-256 + -4w + (64 * w + w * w)) = 0
(-256 + -4w + (64w + w2)) = 0

Combine like terms: -4w + 64w = 60w
(-256 + 60w + w2) = 0

Solving
-256 + 60w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-64 + -1w)(4 + -1w) = 0

Subproblem 1
Set the factor '(-64 + -1w)' equal to zero and attempt to solve:

Simplifying
-64 + -1w = 0

Solving
-64 + -1w = 0

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

Add '64' to each side of the equation.
-64 + 64 + -1w = 0 + 64

Combine like terms: -64 + 64 = 0
0 + -1w = 0 + 64
-1w = 0 + 64

Combine like terms: 0 + 64 = 64
-1w = 64

Divide each side by '-1'.
w = -64

Simplifying
w = -64
Subproblem 2
Set the factor '(4 + -1w)' equal to zero and attempt to solve:

Simplifying
4 + -1w = 0

Solving
4 + -1w = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1w = 0 + -4

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

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

Divide each side by '-1'.
w = 4

Simplifying
w = 4
Solution
w = {-64, 4}