5ab-a-ac+2ab=

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

Simplifying
5ab + -1a + -1ac + 2ab = 0

Reorder the terms:
-1a + 5ab + 2ab + -1ac = 0

Combine like terms: 5ab + 2ab = 7ab
-1a + 7ab + -1ac = 0

Solving
-1a + 7ab + -1ac = 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(-1 + 7b + -1c) = 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 '(-1 + 7b + -1c)' equal to zero and attempt to solve:

Simplifying
-1 + 7b + -1c = 0

Solving
-1 + 7b + -1c = 0

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

Add '1' to each side of the equation.
-1 + 7b + 1 + -1c = 0 + 1

Reorder the terms:
-1 + 1 + 7b + -1c = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 7b + -1c = 0 + 1
7b + -1c = 0 + 1

Combine like terms: 0 + 1 = 1
7b + -1c = 1

Add '-7b' to each side of the equation.
7b + -7b + -1c = 1 + -7b

Combine like terms: 7b + -7b = 0
0 + -1c = 1 + -7b
-1c = 1 + -7b

Add 'c' to each side of the equation.
-1c + c = 1 + -7b + c

Combine like terms: -1c + c = 0
0 = 1 + -7b + c

Simplifying
0 = 1 + -7b + c

The solution to this equation could not be determined.

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