168=(w+8)(w-8)(2)

Solution for 168=(w+8)(w-8)(2) equation:

Simplifying
168 = (w + 8)(w + -8)(2)

Reorder the terms:
168 = (8 + w)(w + -8)(2)

Reorder the terms:
168 = (8 + w)(-8 + w)(2)

Reorder the terms for easier multiplication:
168 = 2(8 + w)(-8 + w)

Multiply (8 + w) * (-8 + w)
168 = 2(8(-8 + w) + w(-8 + w))
168 = 2((-8 * 8 + w * 8) + w(-8 + w))
168 = 2((-64 + 8w) + w(-8 + w))
168 = 2(-64 + 8w + (-8 * w + w * w))
168 = 2(-64 + 8w + (-8w + w2))

Combine like terms: 8w + -8w = 0
168 = 2(-64 + 0 + w2)
168 = 2(-64 + w2)
168 = (-64 * 2 + w2 * 2)
168 = (-128 + 2w2)

Solving
168 = -128 + 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 = -128 + 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
168 + -2w2 = -128 + 0
168 + -2w2 = -128

Add '-168' to each side of the equation.
168 + -168 + -2w2 = -128 + -168

Combine like terms: 168 + -168 = 0
0 + -2w2 = -128 + -168
-2w2 = -128 + -168

Combine like terms: -128 + -168 = -296
-2w2 = -296

Divide each side by '-2'.
w2 = 148

Simplifying
w2 = 148

Take the square root of each side:
w = {-12.165525061, 12.165525061}