2a(3b+2c)=

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

Simplifying
2a(3b + 2c) = 0
(3b * 2a + 2c * 2a) = 0
(6ab + 4ac) = 0

Solving
6ab + 4ac = 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), '2a'.
2a(3b + 2c) = 0

Ignore the factor 2.
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 '(3b + 2c)' equal to zero and attempt to solve:

Simplifying
3b + 2c = 0

Solving
3b + 2c = 0

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

Add '-3b' to each side of the equation.
3b + -3b + 2c = 0 + -3b

Combine like terms: 3b + -3b = 0
0 + 2c = 0 + -3b
2c = 0 + -3b
Remove the zero:
2c = -3b

Add '-2c' to each side of the equation.
2c + -2c = -3b + -2c

Combine like terms: 2c + -2c = 0
0 = -3b + -2c

Simplifying
0 = -3b + -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}