0.5x^2+6=16

Solution for 0.5x^2+6=16 equation:

Simplifying
0.5x2 + 6 = 16

Reorder the terms:
6 + 0.5x2 = 16

Solving
6 + 0.5x2 = 16

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 0.5x2 = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 0.5x2 = 16 + -6
0.5x2 = 16 + -6

Combine like terms: 16 + -6 = 10
0.5x2 = 10

Divide each side by '0.5'.
x2 = 20

Simplifying
x2 = 20

Take the square root of each side:
x = {-4.472135955, 4.472135955}