2=0.5*x*x

Solution for 2=0.5*x*x equation:

Simplifying
2 = 0.5x * x

Multiply x * x
2 = 0.5x2

Solving
2 = 0.5x2

Solving for variable 'x'.

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

Add '-0.5x2' to each side of the equation.
2 + -0.5x2 = 0.5x2 + -0.5x2

Combine like terms: 0.5x2 + -0.5x2 = 0.0
2 + -0.5x2 = 0.0

Add '-2' to each side of the equation.
2 + -2 + -0.5x2 = 0.0 + -2

Combine like terms: 2 + -2 = 0
0 + -0.5x2 = 0.0 + -2
-0.5x2 = 0.0 + -2

Combine like terms: 0.0 + -2 = -2
-0.5x2 = -2

Divide each side by '-0.5'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}