ab-5a-2+3ab+2=

Solution for ab-5a-2+3ab+2= equation:

Simplifying
ab + -5a + -2 + 3ab + 2 = 0

Reorder the terms:
-2 + 2 + -5a + ab + 3ab = 0

Combine like terms: -2 + 2 = 0
0 + -5a + ab + 3ab = 0
-5a + ab + 3ab = 0

Combine like terms: ab + 3ab = 4ab
-5a + 4ab = 0

Solving
-5a + 4ab = 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(-5 + 4b) = 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 '(-5 + 4b)' equal to zero and attempt to solve:

Simplifying
-5 + 4b = 0

Solving
-5 + 4b = 0

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

Add '5' to each side of the equation.
-5 + 5 + 4b = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 4b = 0 + 5
4b = 0 + 5

Combine like terms: 0 + 5 = 5
4b = 5

Add '-4b' to each side of the equation.
4b + -4b = 5 + -4b

Combine like terms: 4b + -4b = 0
0 = 5 + -4b

Simplifying
0 = 5 + -4b

The solution to this equation could not be determined.

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