6+2w(w)=216

Solution for 6+2w(w)=216 equation:

Simplifying
6 + 2w(w) = 216

Multiply w * w
6 + 2w2 = 216

Solving
6 + 2w2 = 216

Solving for variable 'w'.

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

Add '-6' to each side of the equation.
6 + -6 + 2w2 = 216 + -6

Combine like terms: 6 + -6 = 0
0 + 2w2 = 216 + -6
2w2 = 216 + -6

Combine like terms: 216 + -6 = 210
2w2 = 210

Divide each side by '2'.
w2 = 105

Simplifying
w2 = 105

Take the square root of each side:
w = {-10.246950766, 10.246950766}