-0.5x^2+1=0

Solution for -0.5x^2+1=0 equation:

Simplifying
-0.5x2 + 1 = 0

Reorder the terms:
1 + -0.5x2 = 0

Solving
1 + -0.5x2 = 0

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + -0.5x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.5x2 = 0 + -1
-0.5x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.5x2 = -1

Divide each side by '-0.5'.
x2 = 2

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}