A(x-2)(x-3)=

Solution for A(x-2)(x-3)= equation:

Simplifying
A(x + -2)(x + -3) = 0

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

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

Multiply (-2 + x) * (-3 + x)
A(-2(-3 + x) + x(-3 + x)) = 0
A((-3 * -2 + x * -2) + x(-3 + x)) = 0
A((6 + -2x) + x(-3 + x)) = 0
A(6 + -2x + (-3 * x + x * x)) = 0
A(6 + -2x + (-3x + x2)) = 0

Combine like terms: -2x + -3x = -5x
A(6 + -5x + x2) = 0
(6 * A + -5x * A + x2 * A) = 0
(6A + -5xA + x2A) = 0

Solving
6A + -5xA + x2A = 0

Solving for variable 'A'.

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

Factor out the Greatest Common Factor (GCF), 'A'.
A(6 + -5x + x2) = 0

Factor a trinomial.
A((2 + -1x)(3 + -1x)) = 0

Subproblem 1
Set the factor 'A' equal to zero and attempt to solve:

Simplifying
A = 0

Solving
A = 0

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

Simplifying
A = 0
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Add 'x' to each side of the equation.
-1x + x = -2 + x

Combine like terms: -1x + x = 0
0 = -2 + x

Simplifying
0 = -2 + x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 3
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Add 'x' to each side of the equation.
-1x + x = -3 + x

Combine like terms: -1x + x = 0
0 = -3 + x

Simplifying
0 = -3 + x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
A = {0}