(2-A)(A+5)=0

Solution for (2-A)(A+5)=0 equation:

Simplifying
(2 + -1A)(A + 5) = 0

Reorder the terms:
(2 + -1A)(5 + A) = 0

Multiply (2 + -1A) * (5 + A)
(2(5 + A) + -1A * (5 + A)) = 0
((5 * 2 + A * 2) + -1A * (5 + A)) = 0
((10 + 2A) + -1A * (5 + A)) = 0
(10 + 2A + (5 * -1A + A * -1A)) = 0
(10 + 2A + (-5A + -1A2)) = 0

Combine like terms: 2A + -5A = -3A
(10 + -3A + -1A2) = 0

Solving
10 + -3A + -1A2 = 0

Solving for variable 'A'.

Factor a trinomial.
(2 + -1A)(5 + A) = 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 '(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
Solution
A = {2, -5}