8=2w(w)

Solution for 8=2w(w) equation:

Simplifying
8 = 2w(w)

Multiply w * w
8 = 2w2

Solving
8 = 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.
8 + -2w2 = 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
8 + -2w2 = 0

Add '-8' to each side of the equation.
8 + -8 + -2w2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -2w2 = 0 + -8
-2w2 = 0 + -8

Combine like terms: 0 + -8 = -8
-2w2 = -8

Divide each side by '-2'.
w2 = 4

Simplifying
w2 = 4

Take the square root of each side:
w = {-2, 2}