10=0.5q^2

Solution for 10=0.5q^2 equation:

Simplifying
10 = 0.5q2

Solving
10 = 0.5q2

Solving for variable 'q'.

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

Add '-0.5q2' to each side of the equation.
10 + -0.5q2 = 0.5q2 + -0.5q2

Combine like terms: 0.5q2 + -0.5q2 = 0.0
10 + -0.5q2 = 0.0

Add '-10' to each side of the equation.
10 + -10 + -0.5q2 = 0.0 + -10

Combine like terms: 10 + -10 = 0
0 + -0.5q2 = 0.0 + -10
-0.5q2 = 0.0 + -10

Combine like terms: 0.0 + -10 = -10
-0.5q2 = -10

Divide each side by '-0.5'.
q2 = 20

Simplifying
q2 = 20

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