2a(b+3c)=

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


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

Solving
2ab + 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), '2a'.
2a(b + 3c) = 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 '(b + 3c)' equal to zero and attempt to solve:

Simplifying
b + 3c = 0

Solving
b + 3c = 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 + 3c = 0 + -1b

Combine like terms: b + -1b = 0
0 + 3c = 0 + -1b
3c = 0 + -1b
Remove the zero:
3c = -1b

Add '-3c' to each side of the equation.
3c + -3c = -1b + -3c

Combine like terms: 3c + -3c = 0
0 = -1b + -3c

Simplifying
0 = -1b + -3c

The solution to this equation could not be determined.

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

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