0.5=2*a^2

Solution for 0.5=2*a^2 equation:

Simplifying
0.5 = 2a2

Solving
0.5 = 2a2

Solving for variable 'a'.

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

Add '-2a2' to each side of the equation.
0.5 + -2a2 = 2a2 + -2a2

Combine like terms: 2a2 + -2a2 = 0
0.5 + -2a2 = 0

Add '-0.5' to each side of the equation.
0.5 + -0.5 + -2a2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -2a2 = 0 + -0.5
-2a2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-2a2 = -0.5

Divide each side by '-2'.
a2 = 0.25

Simplifying
a2 = 0.25

Take the square root of each side:
a = {-0.5, 0.5}