6(a+b+c)=abc

Solution for 6(a+b+c)=abc equation:

Simplifying
6(a + b + c) = abc
(a * 6 + b * 6 + c * 6) = abc
(6a + 6b + 6c) = abc

Solving
6a + 6b + 6c = 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.
6a + 6b + -1abc + 6c = abc + -1abc

Reorder the terms:
6a + -1abc + 6b + 6c = abc + -1abc

Combine like terms: abc + -1abc = 0
6a + -1abc + 6b + 6c = 0

Add '-6b' to each side of the equation.
6a + -1abc + 6b + -6b + 6c = 0 + -6b

Combine like terms: 6b + -6b = 0
6a + -1abc + 0 + 6c = 0 + -6b
6a + -1abc + 6c = 0 + -6b
Remove the zero:
6a + -1abc + 6c = -6b

Add '-6c' to each side of the equation.
6a + -1abc + 6c + -6c = -6b + -6c

Combine like terms: 6c + -6c = 0
6a + -1abc + 0 = -6b + -6c
6a + -1abc = -6b + -6c

Reorder the terms:
6a + -1abc + 6b + 6c = -6b + 6b + -6c + 6c

Combine like terms: -6b + 6b = 0
6a + -1abc + 6b + 6c = 0 + -6c + 6c
6a + -1abc + 6b + 6c = -6c + 6c

Combine like terms: -6c + 6c = 0
6a + -1abc + 6b + 6c = 0

The solution to this equation could not be determined.