36=w*(2*w)

Solution for 36=w*(2*w) equation:

Simplifying
36 = w(2w)

Remove parenthesis around (2w)
36 = w * 2w

Reorder the terms for easier multiplication:
36 = 2w * w

Multiply w * w
36 = 2w2

Solving
36 = 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.
36 + -2w2 = 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
36 + -2w2 = 0

Add '-36' to each side of the equation.
36 + -36 + -2w2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -2w2 = 0 + -36
-2w2 = 0 + -36

Combine like terms: 0 + -36 = -36
-2w2 = -36

Divide each side by '-2'.
w2 = 18

Simplifying
w2 = 18

Take the square root of each side:
w = {-4.242640687, 4.242640687}