500=(2*w)*4*w

Solution for 500=(2*w)*4*w equation:

Simplifying
500 = (2w) * 4w

Remove parenthesis around (2w)
500 = 2w * 4w

Reorder the terms for easier multiplication:
500 = 2 * 4w * w

Multiply 2 * 4
500 = 8w * w

Multiply w * w
500 = 8w2

Solving
500 = 8w2

Solving for variable 'w'.

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

Add '-8w2' to each side of the equation.
500 + -8w2 = 8w2 + -8w2

Combine like terms: 8w2 + -8w2 = 0
500 + -8w2 = 0

Add '-500' to each side of the equation.
500 + -500 + -8w2 = 0 + -500

Combine like terms: 500 + -500 = 0
0 + -8w2 = 0 + -500
-8w2 = 0 + -500

Combine like terms: 0 + -500 = -500
-8w2 = -500

Divide each side by '-8'.
w2 = 62.5

Simplifying
w2 = 62.5

Take the square root of each side:
w = {-7.90569415, 7.90569415}