2x^2-0.5=0

Solution for 2x^2-0.5=0 equation:

Simplifying
2x2 + -0.5 = 0

Reorder the terms:
-0.5 + 2x2 = 0

Solving
-0.5 + 2x2 = 0

Solving for variable 'x'.

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

Add '0.5' to each side of the equation.
-0.5 + 0.5 + 2x2 = 0 + 0.5

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

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

Divide each side by '2'.
x2 = 0.25

Simplifying
x2 = 0.25

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