-4A^2+24A-20=0

Solution for -4A^2+24A-20=0 equation:

Simplifying
-4A2 + 24A + -20 = 0

Reorder the terms:
-20 + 24A + -4A2 = 0

Solving
-20 + 24A + -4A2 = 0

Solving for variable 'A'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-5 + 6A + -1A2) = 0

Factor a trinomial.
4((-5 + A)(1 + -1A)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-5 + A)' equal to zero and attempt to solve:

Simplifying
-5 + A = 0

Solving
-5 + A = 0

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

Add '5' to each side of the equation.
-5 + 5 + A = 0 + 5

Combine like terms: -5 + 5 = 0
0 + A = 0 + 5
A = 0 + 5

Combine like terms: 0 + 5 = 5
A = 5

Simplifying
A = 5
Subproblem 2
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
Solution
A = {5, 1}