56=w^2+6

Solution for 56=w^2+6 equation:

Simplifying
56 = w2 + 6

Reorder the terms:
56 = 6 + w2

Solving
56 = 6 + 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.
56 + -1w2 = 6 + w2 + -1w2

Combine like terms: w2 + -1w2 = 0
56 + -1w2 = 6 + 0
56 + -1w2 = 6

Add '-56' to each side of the equation.
56 + -56 + -1w2 = 6 + -56

Combine like terms: 56 + -56 = 0
0 + -1w2 = 6 + -56
-1w2 = 6 + -56

Combine like terms: 6 + -56 = -50
-1w2 = -50

Divide each side by '-1'.
w2 = 50

Simplifying
w2 = 50

Take the square root of each side:
w = {-7.071067812, 7.071067812}