ab+bc+ca=3abc

Solution for ab+bc+ca=3abc equation:

Simplifying
ab + bc + ca = 3abc

Reorder the terms:
ab + ac + bc = 3abc

Solving
ab + ac + bc = 3abc

Solving for variable 'a'.

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

Add '-3abc' to each side of the equation.
ab + ac + -3abc + bc = 3abc + -3abc

Reorder the terms:
ab + -3abc + ac + bc = 3abc + -3abc

Combine like terms: 3abc + -3abc = 0
ab + -3abc + ac + bc = 0

Add '-1bc' to each side of the equation.
ab + -3abc + ac + bc + -1bc = 0 + -1bc

Combine like terms: bc + -1bc = 0
ab + -3abc + ac + 0 = 0 + -1bc
ab + -3abc + ac = 0 + -1bc
Remove the zero:
ab + -3abc + ac = -1bc

Combine like terms: -1bc + bc = 0
ab + -3abc + ac + bc = 0

The solution to this equation could not be determined.