A^2-4A+4=0

Solution for A^2-4A+4=0 equation:

Simplifying
A2 + -4A + 4 = 0

Reorder the terms:
4 + -4A + A2 = 0

Solving
4 + -4A + A2 = 0

Solving for variable 'A'.

Factor a trinomial.
(2 + -1A)(2 + -1A) = 0

Subproblem 1
Set the factor '(2 + -1A)' equal to zero and attempt to solve:

Simplifying
2 + -1A = 0

Solving
2 + -1A = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1A = 0 + -2

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

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

Divide each side by '-1'.
A = 2

Simplifying
A = 2
Subproblem 2
Set the factor '(2 + -1A)' equal to zero and attempt to solve:

Simplifying
2 + -1A = 0

Solving
2 + -1A = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1A = 0 + -2

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

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

Divide each side by '-1'.
A = 2

Simplifying
A = 2
Solution
A = {2, 2}