3a(b-2c)=

Solution for 3a(b-2c)= equation:

Simplifying
3a(b + -2c) = 0
(b * 3a + -2c * 3a) = 0
(3ab + -6ac) = 0

Solving
3ab + -6ac = 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(b + -2c) = 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 '(b + -2c)' equal to zero and attempt to solve:

Simplifying
b + -2c = 0

Solving
b + -2c = 0

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

Add '-1b' to each side of the equation.
b + -1b + -2c = 0 + -1b

Combine like terms: b + -1b = 0
0 + -2c = 0 + -1b
-2c = 0 + -1b
Remove the zero:
-2c = -1b

Add '2c' to each side of the equation.
-2c + 2c = -1b + 2c

Combine like terms: -2c + 2c = 0
0 = -1b + 2c

Simplifying
0 = -1b + 2c

The solution to this equation could not be determined.

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