(.5-x)(.5+x)=

Solution for (.5-x)(.5+x)= equation:

Simplifying
(0.5 + -1x)(0.5 + x) = 0

Multiply (0.5 + -1x) * (0.5 + x)
(0.5(0.5 + x) + -1x * (0.5 + x)) = 0
((0.5 * 0.5 + x * 0.5) + -1x * (0.5 + x)) = 0
((0.25 + 0.5x) + -1x * (0.5 + x)) = 0
(0.25 + 0.5x + (0.5 * -1x + x * -1x)) = 0
(0.25 + 0.5x + (-0.5x + -1x2)) = 0

Combine like terms: 0.5x + -0.5x = 0.0
(0.25 + 0.0 + -1x2) = 0
(0.25 + -1x2) = 0

Solving
0.25 + -1x2 = 0

Solving for variable 'x'.

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

Add '-0.25' to each side of the equation.
0.25 + -0.25 + -1x2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + -1x2 = 0 + -0.25
-1x2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
-1x2 = -0.25

Divide each side by '-1'.
x2 = 0.25

Simplifying
x2 = 0.25

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