82=w^2+2

Solution for 82=w^2+2 equation:

Simplifying
82 = w2 + 2

Reorder the terms:
82 = 2 + w2

Solving
82 = 2 + w2

Solving for variable 'w'.

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

Add '-1w2' to each side of the equation.
82 + -1w2 = 2 + w2 + -1w2

Combine like terms: w2 + -1w2 = 0
82 + -1w2 = 2 + 0
82 + -1w2 = 2

Add '-82' to each side of the equation.
82 + -82 + -1w2 = 2 + -82

Combine like terms: 82 + -82 = 0
0 + -1w2 = 2 + -82
-1w2 = 2 + -82

Combine like terms: 2 + -82 = -80
-1w2 = -80

Divide each side by '-1'.
w2 = 80

Simplifying
w2 = 80

Take the square root of each side:
w = {-8.94427191, 8.94427191}