6a-7ab+8abc=

Solution for 6a-7ab+8abc= equation:

Simplifying
6a + -7ab + 8abc = 0

Solving
6a + -7ab + 8abc = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), 'a'.
a(6 + -7b + 8bc) = 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 '(6 + -7b + 8bc)' equal to zero and attempt to solve:

Simplifying
6 + -7b + 8bc = 0

Solving
6 + -7b + 8bc = 0

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

Add '-6' to each side of the equation.
6 + -7b + -6 + 8bc = 0 + -6

Reorder the terms:
6 + -6 + -7b + 8bc = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7b + 8bc = 0 + -6
-7b + 8bc = 0 + -6

Combine like terms: 0 + -6 = -6
-7b + 8bc = -6

Add '7b' to each side of the equation.
-7b + 7b + 8bc = -6 + 7b

Combine like terms: -7b + 7b = 0
0 + 8bc = -6 + 7b
8bc = -6 + 7b

Add '-8bc' to each side of the equation.
8bc + -8bc = -6 + 7b + -8bc

Combine like terms: 8bc + -8bc = 0
0 = -6 + 7b + -8bc

Simplifying
0 = -6 + 7b + -8bc

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}