162=2w*w

Solution for 162=2w*w equation:

Simplifying
162 = 2w * w

Multiply w * w
162 = 2w2

Solving
162 = 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.
162 + -2w2 = 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
162 + -2w2 = 0

Add '-162' to each side of the equation.
162 + -162 + -2w2 = 0 + -162

Combine like terms: 162 + -162 = 0
0 + -2w2 = 0 + -162
-2w2 = 0 + -162

Combine like terms: 0 + -162 = -162
-2w2 = -162

Divide each side by '-2'.
w2 = 81

Simplifying
w2 = 81

Take the square root of each side:
w = {-9, 9}