560=8w^2

Solution for 560=8w^2 equation:

Simplifying
560 = 8w2

Solving
560 = 8w2

Solving for variable 'w'.

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

Add '-8w2' to each side of the equation.
560 + -8w2 = 8w2 + -8w2

Combine like terms: 8w2 + -8w2 = 0
560 + -8w2 = 0

Add '-560' to each side of the equation.
560 + -560 + -8w2 = 0 + -560

Combine like terms: 560 + -560 = 0
0 + -8w2 = 0 + -560
-8w2 = 0 + -560

Combine like terms: 0 + -560 = -560
-8w2 = -560

Divide each side by '-8'.
w2 = 70

Simplifying
w2 = 70

Take the square root of each side:
w = {-8.366600265, 8.366600265}