5A^2-55A+50=0

Solution for 5A^2-55A+50=0 equation:

Simplifying
5A2 + -55A + 50 = 0

Reorder the terms:
50 + -55A + 5A2 = 0

Solving
50 + -55A + 5A2 = 0

Solving for variable 'A'.

Factor out the Greatest Common Factor (GCF), '5'.
5(10 + -11A + A2) = 0

Factor a trinomial.
5((1 + -1A)(10 + -1A)) = 0

Ignore the factor 5.
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 '(10 + -1A)' equal to zero and attempt to solve:

Simplifying
10 + -1A = 0

Solving
10 + -1A = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1A = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1A = 0 + -10
-1A = 0 + -10

Combine like terms: 0 + -10 = -10
-1A = -10

Divide each side by '-1'.
A = 10

Simplifying
A = 10
Solution
A = {1, 10}