1536=(2w)(w)(4)

Solution for 1536=(2w)(w)(4) equation:

Simplifying
1536 = (2w)(w)(4)

Remove parenthesis around (2w)
1536 = 2w(w)(4)

Reorder the terms for easier multiplication:
1536 = 2 * 4w * w

Multiply 2 * 4
1536 = 8w * w

Multiply w * w
1536 = 8w2

Solving
1536 = 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.
1536 + -8w2 = 8w2 + -8w2

Combine like terms: 8w2 + -8w2 = 0
1536 + -8w2 = 0

Add '-1536' to each side of the equation.
1536 + -1536 + -8w2 = 0 + -1536

Combine like terms: 1536 + -1536 = 0
0 + -8w2 = 0 + -1536
-8w2 = 0 + -1536

Combine like terms: 0 + -1536 = -1536
-8w2 = -1536

Divide each side by '-8'.
w2 = 192

Simplifying
w2 = 192

Take the square root of each side:
w = {-13.856406461, 13.856406461}