0.04+2*A+A^2=1

Solution for 0.04+2*A+A^2=1 equation:

Simplifying
0.04 + 2A + A2 = 1

Solving
0.04 + 2A + A2 = 1

Solving for variable 'A'.

Reorder the terms:
0.04 + -1 + 2A + A2 = 1 + -1

Combine like terms: 0.04 + -1 = -0.96
-0.96 + 2A + A2 = 1 + -1

Combine like terms: 1 + -1 = 0
-0.96 + 2A + A2 = 0

Begin completing the square.

Move the constant term to the right:

Add '0.96' to each side of the equation.
-0.96 + 2A + 0.96 + A2 = 0 + 0.96

Reorder the terms:
-0.96 + 0.96 + 2A + A2 = 0 + 0.96

Combine like terms: -0.96 + 0.96 = 0.00
0.00 + 2A + A2 = 0 + 0.96
2A + A2 = 0 + 0.96

Combine like terms: 0 + 0.96 = 0.96
2A + A2 = 0.96

The A term is 2A.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2A + 1 + A2 = 0.96 + 1

Reorder the terms:
1 + 2A + A2 = 0.96 + 1

Combine like terms: 0.96 + 1 = 1.96
1 + 2A + A2 = 1.96

Factor a perfect square on the left side:
(A + 1)(A + 1) = 1.96

Calculate the square root of the right side: 1.4

Break this problem into two subproblems by setting 
(A + 1) equal to 1.4 and -1.4.

Subproblem 1
A + 1 = 1.4

Simplifying
A + 1 = 1.4

Reorder the terms:
1 + A = 1.4

Solving
1 + A = 1.4

Solving for variable 'A'.

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

Add '-1' to each side of the equation.
1 + -1 + A = 1.4 + -1

Combine like terms: 1 + -1 = 0
0 + A = 1.4 + -1
A = 1.4 + -1

Combine like terms: 1.4 + -1 = 0.4
A = 0.4

Simplifying
A = 0.4

Subproblem 2
A + 1 = -1.4

Simplifying
A + 1 = -1.4

Reorder the terms:
1 + A = -1.4

Solving
1 + A = -1.4

Solving for variable 'A'.

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

Add '-1' to each side of the equation.
1 + -1 + A = -1.4 + -1

Combine like terms: 1 + -1 = 0
0 + A = -1.4 + -1
A = -1.4 + -1

Combine like terms: -1.4 + -1 = -2.4
A = -2.4

Simplifying
A = -2.4

Solution
The solution to the problem is based on the solutions
from the subproblems.
A = {0.4, -2.4}