a+b+ab=10a+b

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Solution for a+b+ab=10a+b equation: 


Simplifying
a + b + ab = 10a + b

Reorder the terms:
a + ab + b = 10a + b

Add '-1b' to each side of the equation.
a + ab + b + -1b = 10a + b + -1b

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

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

Solving
a + ab = 10a

Solving for variable 'a'.

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

Add '-10a' to each side of the equation.
a + -10a + ab = 10a + -10a

Combine like terms: a + -10a = -9a
-9a + ab = 10a + -10a

Combine like terms: 10a + -10a = 0
-9a + ab = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(-9 + b) = 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 '(-9 + b)' equal to zero and attempt to solve:

Simplifying
-9 + b = 0

Solving
-9 + b = 0

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

Add '9' to each side of the equation.
-9 + 9 + b = 0 + 9

Combine like terms: -9 + 9 = 0
0 + b = 0 + 9
b = 0 + 9

Combine like terms: 0 + 9 = 9
b = 9

Add '-1b' to each side of the equation.
b + -1b = 9 + -1b

Combine like terms: b + -1b = 0
0 = 9 + -1b

Simplifying
0 = 9 + -1b

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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