(A+2)(A-5)=

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

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

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

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

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

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

Solving
-10 + -3A + A2 = 0

Solving for variable 'A'.

Factor a trinomial.
(-2 + -1A)(5 + -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 '(5 + -1A)' equal to zero and attempt to solve:

Simplifying
5 + -1A = 0

Solving
5 + -1A = 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 + -1A = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1A = 0 + -5
-1A = 0 + -5

Combine like terms: 0 + -5 = -5
-1A = -5

Divide each side by '-1'.
A = 5

Simplifying
A = 5
Solution
A = {-2, 5}