a^2-1a+0.25=0

Solution for a^2-1a+0.25=0 equation:

Simplifying
a2 + -1a + 0.25 = 0

Reorder the terms:
0.25 + -1a + a2 = 0

Solving
0.25 + -1a + a2 = 0

Solving for variable 'a'.

Begin completing the square.

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + -1a + -0.25 + a2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + -1a + a2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + -1a + a2 = 0 + -0.25
-1a + a2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
-1a + a2 = -0.25

The a term is -1a.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1a + 0.25 + a2 = -0.25 + 0.25

Reorder the terms:
0.25 + -1a + a2 = -0.25 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.25 + -1a + a2 = 0.00

Factor a perfect square on the left side:
(a + -0.5)(a + -0.5) = 0.00

Calculate the square root of the right side: 0.00

Break this problem into two subproblems by setting 
(a + -0.5) equal to 0.00 and 0.00.

Subproblem 1
a + -0.5 = 0.00

Simplifying
a + -0.5 = 0.00

Reorder the terms:
-0.5 + a = 0.00

Solving
-0.5 + a = 0.00

Solving for variable 'a'.

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

Add '0.5' to each side of the equation.
-0.5 + 0.5 + a = 0.00 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + a = 0.00 + 0.5
a = 0.00 + 0.5

Combine like terms: 0.00 + 0.5 = 0.5
a = 0.5

Simplifying
a = 0.5

Subproblem 2
a + -0.5 = 0.00

Simplifying
a + -0.5 = 0.00

Reorder the terms:
-0.5 + a = 0.00

Solving
-0.5 + a = 0.00

Solving for variable 'a'.

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

Add '0.5' to each side of the equation.
-0.5 + 0.5 + a = 0.00 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + a = 0.00 + 0.5
a = 0.00 + 0.5

Combine like terms: 0.00 + 0.5 = 0.5
a = 0.5

Simplifying
a = 0.5

Solution
The solution to the problem is based on the solutions
from the subproblems.
a = {0.5, 0.5}