3a(7b+6c)=0

Solution for 3a(7b+6c)=0 equation:

Simplifying
3a(7b + 6c) = 0
(7b * 3a + 6c * 3a) = 0
(21ab + 18ac) = 0

Solving
21ab + 18ac = 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), '3a'.
3a(7b + 6c) = 0

Ignore the factor 3.
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 '(7b + 6c)' equal to zero and attempt to solve:

Simplifying
7b + 6c = 0

Solving
7b + 6c = 0

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

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

Combine like terms: 7b + -7b = 0
0 + 6c = 0 + -7b
6c = 0 + -7b
Remove the zero:
6c = -7b

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

Combine like terms: 6c + -6c = 0
0 = -7b + -6c

Simplifying
0 = -7b + -6c

The solution to this equation could not be determined.

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