w(w*2)-18=0

Solution for w(w*2)-18=0 equation:

Simplifying
w(w * 2) + -18 = 0

Reorder the terms for easier multiplication:
w(2w) + -18 = 0

Remove parenthesis around (2w)
w * 2w + -18 = 0

Reorder the terms for easier multiplication:
2w * w + -18 = 0

Multiply w * w
2w2 + -18 = 0

Reorder the terms:
-18 + 2w2 = 0

Solving
-18 + 2w2 = 0

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '18' to each side of the equation.
-18 + 18 + 2w2 = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 2w2 = 0 + 18
2w2 = 0 + 18

Combine like terms: 0 + 18 = 18
2w2 = 18

Divide each side by '2'.
w2 = 9

Simplifying
w2 = 9

Take the square root of each side:
w = {-3, 3}