8w^2-64+48=0

Solution for 8w^2-64+48=0 equation:

Simplifying
8w2 + -64 + 48 = 0

Reorder the terms:
-64 + 48 + 8w2 = 0

Combine like terms: -64 + 48 = -16
-16 + 8w2 = 0

Solving
-16 + 8w2 = 0

Solving for variable 'w'.

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

Add '16' to each side of the equation.
-16 + 16 + 8w2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 8w2 = 0 + 16
8w2 = 0 + 16

Combine like terms: 0 + 16 = 16
8w2 = 16

Divide each side by '8'.
w2 = 2

Simplifying
w2 = 2

Take the square root of each side:
w = {-1.414213562, 1.414213562}