0=.25x^2-1

Solution for 0=.25x^2-1 equation:

Simplifying
0 = 0.25x2 + -1

Reorder the terms:
0 = -1 + 0.25x2

Solving
0 = -1 + 0.25x2

Solving for variable 'x'.

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

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

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

Divide each side by '-0.25'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}