(w-4)(w+4)=

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

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

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

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

Multiply (-4 + w) * (4 + w)
(-4(4 + w) + w(4 + w)) = 0
((4 * -4 + w * -4) + w(4 + w)) = 0
((-16 + -4w) + w(4 + w)) = 0
(-16 + -4w + (4 * w + w * w)) = 0
(-16 + -4w + (4w + w2)) = 0

Combine like terms: -4w + 4w = 0
(-16 + 0 + w2) = 0
(-16 + w2) = 0

Solving
-16 + w2 = 0

Solving for variable 'w'.

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

Add '16' to each side of the equation.
-16 + 16 + w2 = 0 + 16

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

Combine like terms: 0 + 16 = 16
w2 = 16

Simplifying
w2 = 16

Take the square root of each side:
w = {-4, 4}