5w^2-27-56=0

Solution for 5w^2-27-56=0 equation:

Simplifying
5w2 + -27 + -56 = 0

Reorder the terms:
-27 + -56 + 5w2 = 0

Combine like terms: -27 + -56 = -83
-83 + 5w2 = 0

Solving
-83 + 5w2 = 0

Solving for variable 'w'.

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

Add '83' to each side of the equation.
-83 + 83 + 5w2 = 0 + 83

Combine like terms: -83 + 83 = 0
0 + 5w2 = 0 + 83
5w2 = 0 + 83

Combine like terms: 0 + 83 = 83
5w2 = 83

Divide each side by '5'.
w2 = 16.6

Simplifying
w2 = 16.6

Take the square root of each side:
w = {-4.074309757, 4.074309757}