32=2w(w)

Solution for 32=2w(w) equation:

Simplifying
32 = 2w(w)

Multiply w * w
32 = 2w2

Solving
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.
32 + -2w2 = 2w2 + -2w2

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

Add '-32' to each side of the equation.
32 + -32 + -2w2 = 0 + -32

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

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

Divide each side by '-2'.
w2 = 16

Simplifying
w2 = 16

Take the square root of each side:
w = {-4, 4}