.5x^2-16=0

Solution for .5x^2-16=0 equation:

Simplifying
0.5x2 + -16 = 0

Reorder the terms:
-16 + 0.5x2 = 0

Solving
-16 + 0.5x2 = 0

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 0.5x2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 0.5x2 = 0 + 16
0.5x2 = 0 + 16

Combine like terms: 0 + 16 = 16
0.5x2 = 16

Divide each side by '0.5'.
x2 = 32

Simplifying
x2 = 32

Take the square root of each side:
x = {-5.656854249, 5.656854249}