(2A+3)(1A+2)=0

Solution for (2A+3)(1A+2)=0 equation:

Simplifying
(2A + 3)(1A + 2) = 0

Reorder the terms:
(3 + 2A)(1A + 2) = 0

Reorder the terms:
(3 + 2A)(2 + 1A) = 0

Multiply (3 + 2A) * (2 + 1A)
(3(2 + 1A) + 2A * (2 + 1A)) = 0
((2 * 3 + 1A * 3) + 2A * (2 + 1A)) = 0
((6 + 3A) + 2A * (2 + 1A)) = 0
(6 + 3A + (2 * 2A + 1A * 2A)) = 0
(6 + 3A + (4A + 2A2)) = 0

Combine like terms: 3A + 4A = 7A
(6 + 7A + 2A2) = 0

Solving
6 + 7A + 2A2 = 0

Solving for variable 'A'.

Factor a trinomial.
(2 + A)(3 + 2A) = 0

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

Simplifying
2 + A = 0

Solving
2 + A = 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 + A = 0 + -2

Combine like terms: 2 + -2 = 0
0 + A = 0 + -2
A = 0 + -2

Combine like terms: 0 + -2 = -2
A = -2

Simplifying
A = -2
Subproblem 2
Set the factor '(3 + 2A)' equal to zero and attempt to solve:

Simplifying
3 + 2A = 0

Solving
3 + 2A = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2A = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2A = 0 + -3
2A = 0 + -3

Combine like terms: 0 + -3 = -3
2A = -3

Divide each side by '2'.
A = -1.5

Simplifying
A = -1.5
Solution
A = {-2, -1.5}