168=2(w+4)(w-4)

Solution for 168=2(w+4)(w-4) equation:

Simplifying
168 = 2(w + 4)(w + -4)

Reorder the terms:
168 = 2(4 + w)(w + -4)

Reorder the terms:
168 = 2(4 + w)(-4 + w)

Multiply (4 + w) * (-4 + w)
168 = 2(4(-4 + w) + w(-4 + w))
168 = 2((-4 * 4 + w * 4) + w(-4 + w))
168 = 2((-16 + 4w) + w(-4 + w))
168 = 2(-16 + 4w + (-4 * w + w * w))
168 = 2(-16 + 4w + (-4w + w2))

Combine like terms: 4w + -4w = 0
168 = 2(-16 + 0 + w2)
168 = 2(-16 + w2)
168 = (-16 * 2 + w2 * 2)
168 = (-32 + 2w2)

Solving
168 = -32 + 2w2

Solving for variable 'w'.

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

Add '-2w2' to each side of the equation.
168 + -2w2 = -32 + 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
168 + -2w2 = -32 + 0
168 + -2w2 = -32

Add '-168' to each side of the equation.
168 + -168 + -2w2 = -32 + -168

Combine like terms: 168 + -168 = 0
0 + -2w2 = -32 + -168
-2w2 = -32 + -168

Combine like terms: -32 + -168 = -200
-2w2 = -200

Divide each side by '-2'.
w2 = 100

Simplifying
w2 = 100

Take the square root of each side:
w = {-10, 10}