0.5-x*x=x*x

Solution for 0.5-x*x=x*x equation:

Simplifying
0.5 + -1x * x = x * x

Multiply x * x
0.5 + -1x2 = x * x

Multiply x * x
0.5 + -1x2 = x2

Solving
0.5 + -1x2 = x2

Solving for variable 'x'.

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

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

Combine like terms: -1x2 + -1x2 = -2x2
0.5 + -2x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
0.5 + -2x2 = 0

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}