Ca-ba=(c+(-b))a

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Solution for Ca-ba=(c+(-b))a equation: 


Simplifying
Ca + -1ba = (c + (-1b)) * a

Reorder the terms:
aC + -1ab = ((-1b) + c) * a

Reorder the terms for easier multiplication:
aC + -1ab = a((-1b) + c)
aC + -1ab = ((-1b) * a + c * a)
aC + -1ab = (-1ab + ac)

Add 'ab' to each side of the equation.
aC + -1ab + ab = -1ab + ab + ac

Combine like terms: -1ab + ab = 0
aC + 0 = -1ab + ab + ac
aC = -1ab + ab + ac

Combine like terms: -1ab + ab = 0
aC = 0 + ac
aC = ac

Solving
aC = ac

Solving for variable 'a'.

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

Add '-1ac' to each side of the equation.
aC + -1ac = ac + -1ac

Combine like terms: ac + -1ac = 0
aC + -1ac = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(C + -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 '(C + -1c)' equal to zero and attempt to solve:

Simplifying
C + -1c = 0

Solving
C + -1c = 0

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

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

Combine like terms: C + -1C = 0
0 + -1c = 0 + -1C
-1c = 0 + -1C
Remove the zero:
-1c = -1C

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

Combine like terms: -1c + c = 0
0 = -1C + c

Simplifying
0 = -1C + 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}

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