7a+ab+4a+3ab-a=

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Solution for 7a+ab+4a+3ab-a= equation: 


Simplifying
7a + ab + 4a + 3ab + -1a = 0

Reorder the terms:
7a + 4a + -1a + ab + 3ab = 0

Combine like terms: 7a + 4a = 11a
11a + -1a + ab + 3ab = 0

Combine like terms: 11a + -1a = 10a
10a + ab + 3ab = 0

Combine like terms: ab + 3ab = 4ab
10a + 4ab = 0

Solving
10a + 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), '2a'.
2a(5 + 2b) = 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 '(5 + 2b)' equal to zero and attempt to solve:

Simplifying
5 + 2b = 0

Solving
5 + 2b = 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 + 2b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2b = 0 + -5
2b = 0 + -5

Combine like terms: 0 + -5 = -5
2b = -5

Add '-2b' to each side of the equation.
2b + -2b = -5 + -2b

Combine like terms: 2b + -2b = 0
0 = -5 + -2b

Simplifying
0 = -5 + -2b

The solution to this equation could not be determined.

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

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