Ab+Ba+ca=abc

Solution for Ab+Ba+ca=abc equation:

Simplifying
Ab + Ba + ca = abc

Reorder the terms:
aB + ac + bA = abc

Solving
aB + ac + bA = abc

Solving for variable 'a'.

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

Add '-1abc' to each side of the equation.
aB + ac + -1abc + bA = abc + -1abc

Reorder the terms:
aB + -1abc + ac + bA = abc + -1abc

Combine like terms: abc + -1abc = 0
aB + -1abc + ac + bA = 0

Add '-1bA' to each side of the equation.
aB + -1abc + ac + bA + -1bA = 0 + -1bA

Combine like terms: bA + -1bA = 0
aB + -1abc + ac + 0 = 0 + -1bA
aB + -1abc + ac = 0 + -1bA
Remove the zero:
aB + -1abc + ac = -1bA

Combine like terms: -1bA + bA = 0
aB + -1abc + ac + bA = 0

The solution to this equation could not be determined.