.25x^2-.25=0

Solution for .25x^2-.25=0 equation:

Simplifying
0.25x2 + -0.25 = 0

Reorder the terms:
-0.25 + 0.25x2 = 0

Solving
-0.25 + 0.25x2 = 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 + 0.25x2 = 0 + 0.25

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

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

Divide each side by '0.25'.
x2 = 1

Simplifying
x2 = 1

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