3a(2b+c)+3ab+4ac=

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Solution for 3a(2b+c)+3ab+4ac= equation: 


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

Reorder the terms:
6ab + 3ab + 3ac + 4ac = 0

Combine like terms: 6ab + 3ab = 9ab
9ab + 3ac + 4ac = 0

Combine like terms: 3ac + 4ac = 7ac
9ab + 7ac = 0

Solving
9ab + 7ac = 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(9b + 7c) = 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 '(9b + 7c)' equal to zero and attempt to solve:

Simplifying
9b + 7c = 0

Solving
9b + 7c = 0

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

Add '-9b' to each side of the equation.
9b + -9b + 7c = 0 + -9b

Combine like terms: 9b + -9b = 0
0 + 7c = 0 + -9b
7c = 0 + -9b
Remove the zero:
7c = -9b

Add '-7c' to each side of the equation.
7c + -7c = -9b + -7c

Combine like terms: 7c + -7c = 0
0 = -9b + -7c

Simplifying
0 = -9b + -7c

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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