(x-.5)2=20.25

Solution for (x-.5)2=20.25 equation:

Simplifying
(x + -0.5) * 2 = 20.25

Reorder the terms:
(-0.5 + x) * 2 = 20.25

Reorder the terms for easier multiplication:
2(-0.5 + x) = 20.25
(-0.5 * 2 + x * 2) = 20.25
(-1 + 2x) = 20.25

Solving
-1 + 2x = 20.25

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 + 2x = 20.25 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = 20.25 + 1
2x = 20.25 + 1

Combine like terms: 20.25 + 1 = 21.25
2x = 21.25

Divide each side by '2'.
x = 10.625

Simplifying
x = 10.625