(A+4)X(A-2)=

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Solution for (A+4)X(A-2)= equation: 


Simplifying
(A + 4) * X(A + -2) = 0

Reorder the terms:
(4 + A) * X(A + -2) = 0

Reorder the terms:
(4 + A) * X(-2 + A) = 0

Reorder the terms for easier multiplication:
X(4 + A)(-2 + A) = 0

Multiply (4 + A) * (-2 + A)
X(4(-2 + A) + A(-2 + A)) = 0
X((-2 * 4 + A * 4) + A(-2 + A)) = 0
X((-8 + 4A) + A(-2 + A)) = 0
X(-8 + 4A + (-2 * A + A * A)) = 0
X(-8 + 4A + (-2A + A2)) = 0

Combine like terms: 4A + -2A = 2A
X(-8 + 2A + A2) = 0
(-8 * X + 2A * X + A2 * X) = 0

Reorder the terms:
(2AX + A2X + -8X) = 0
(2AX + A2X + -8X) = 0

Solving
2AX + A2X + -8X = 0

Solving for variable 'A'.

Factor out the Greatest Common Factor (GCF), 'X'.
X(2A + A2 + -8) = 0

Factor a trinomial.
X((A + -2)(A + 4)) = 0


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

Simplifying
X = 0

Solving
X = 0

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

Add '-1X' to each side of the equation.
X + -1X = 0 + -1X
Remove the zero:
0 = -1X

Simplifying
0 = -1X

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

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

Simplifying
A + -2 = 0

Reorder the terms:
-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 3
Set the factor '(A + 4)' equal to zero and attempt to solve:

Simplifying
A + 4 = 0

Reorder the terms:
4 + A = 0

Solving
4 + A = 0

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

Add '-4' to each side of the equation.
4 + -4 + A = 0 + -4

Combine like terms: 4 + -4 = 0
0 + A = 0 + -4
A = 0 + -4

Combine like terms: 0 + -4 = -4
A = -4

Simplifying
A = -4
Solution
A = {2, -4}

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