4a(x+2)-a(x+2)=

Solution for 4a(x+2)-a(x+2)= equation:

Simplifying
4a(x + 2) + -1a(x + 2) = 0

Reorder the terms:
4a(2 + x) + -1a(x + 2) = 0
(2 * 4a + x * 4a) + -1a(x + 2) = 0
(8a + 4ax) + -1a(x + 2) = 0

Reorder the terms:
8a + 4ax + -1a(2 + x) = 0
8a + 4ax + (2 * -1a + x * -1a) = 0
8a + 4ax + (-2a + -1ax) = 0

Reorder the terms:
8a + -2a + 4ax + -1ax = 0

Combine like terms: 8a + -2a = 6a
6a + 4ax + -1ax = 0

Combine like terms: 4ax + -1ax = 3ax
6a + 3ax = 0

Solving
6a + 3ax = 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), '3a'.
3a(2 + x) = 0

Ignore the factor 3.
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 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

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

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

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

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

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

Simplifying
0 = -2 + -1x

The solution to this equation could not be determined.

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