0.5x^2-0.5=0

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

Simplifying
0.5x2 + -0.5 = 0

Reorder the terms:
-0.5 + 0.5x2 = 0

Solving
-0.5 + 0.5x2 = 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 + 0.5x2 = 0 + 0.5

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

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

Divide each side by '0.5'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}