(2A+8)X(A+3)=

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Solution for (2A+8)X(A+3)= equation: 


Simplifying
(2A + 8) * X(A + 3) = 0

Reorder the terms:
(8 + 2A) * X(A + 3) = 0

Reorder the terms:
(8 + 2A) * X(3 + A) = 0

Reorder the terms for easier multiplication:
X(8 + 2A)(3 + A) = 0

Multiply (8 + 2A) * (3 + A)
X(8(3 + A) + 2A * (3 + A)) = 0
X((3 * 8 + A * 8) + 2A * (3 + A)) = 0
X((24 + 8A) + 2A * (3 + A)) = 0
X(24 + 8A + (3 * 2A + A * 2A)) = 0
X(24 + 8A + (6A + 2A2)) = 0

Combine like terms: 8A + 6A = 14A
X(24 + 14A + 2A2) = 0
(24 * X + 14A * X + 2A2 * X) = 0

Reorder the terms:
(14AX + 2A2X + 24X) = 0
(14AX + 2A2X + 24X) = 0

Solving
14AX + 2A2X + 24X = 0

Solving for variable 'A'.

Factor out the Greatest Common Factor (GCF), '2X'.
2X(7A + A2 + 12) = 0

Factor a trinomial.
2X((A + 3)(A + 4)) = 0

Ignore the factor 2.

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 + 3)' equal to zero and attempt to solve:

Simplifying
A + 3 = 0

Reorder the terms:
3 + A = 0

Solving
3 + A = 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 + A = 0 + -3

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

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

Simplifying
A = -3

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 = {-3, -4}

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