A^2-14A+13=0

Solution for A^2-14A+13=0 equation:

Simplifying
A2 + -14A + 13 = 0

Reorder the terms:
13 + -14A + A2 = 0

Solving
13 + -14A + A2 = 0

Solving for variable 'A'.

Factor a trinomial.
(1 + -1A)(13 + -1A) = 0

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

Simplifying
1 + -1A = 0

Solving
1 + -1A = 0

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

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

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

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

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

Simplifying
A = 1
Subproblem 2
Set the factor '(13 + -1A)' equal to zero and attempt to solve:

Simplifying
13 + -1A = 0

Solving
13 + -1A = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1A = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1A = 0 + -13
-1A = 0 + -13

Combine like terms: 0 + -13 = -13
-1A = -13

Divide each side by '-1'.
A = 13

Simplifying
A = 13
Solution
A = {1, 13}