-3a(x+1)+a(x-3)=-2ab

Solution for -3a(x+1)+a(x-3)=-2ab equation:

Simplifying
-3a(x + 1) + a(x + -3) = -2ab

Reorder the terms:
-3a(1 + x) + a(x + -3) = -2ab
(1 * -3a + x * -3a) + a(x + -3) = -2ab
(-3a + -3ax) + a(x + -3) = -2ab

Reorder the terms:
-3a + -3ax + a(-3 + x) = -2ab
-3a + -3ax + (-3 * a + x * a) = -2ab
-3a + -3ax + (-3a + ax) = -2ab

Reorder the terms:
-3a + -3a + -3ax + ax = -2ab

Combine like terms: -3a + -3a = -6a
-6a + -3ax + ax = -2ab

Combine like terms: -3ax + ax = -2ax
-6a + -2ax = -2ab

Solving
-6a + -2ax = -2ab

Solving for variable 'a'.

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

Add '2ab' to each side of the equation.
-6a + 2ab + -2ax = -2ab + 2ab

Combine like terms: -2ab + 2ab = 0
-6a + 2ab + -2ax = 0

Factor out the Greatest Common Factor (GCF), '2a'.
2a(-3 + b + -1x) = 0

Ignore the factor 2.
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 '(-3 + b + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + b + -1x = 0

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

Reorder the terms:
-3 + 3 + b + -1x = 0 + 3

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

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

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

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

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

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

Simplifying
0 = 3 + -1b + 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}