3x+ab+ac=3x+4a

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Solution for 3x+ab+ac=3x+4a equation: 


Simplifying
3x + ab + ac = 3x + 4a

Reorder the terms:
ab + ac + 3x = 3x + 4a

Reorder the terms:
ab + ac + 3x = 4a + 3x

Add '-3x' to each side of the equation.
ab + ac + 3x + -3x = 4a + 3x + -3x

Combine like terms: 3x + -3x = 0
ab + ac + 0 = 4a + 3x + -3x
ab + ac = 4a + 3x + -3x

Combine like terms: 3x + -3x = 0
ab + ac = 4a + 0
ab + ac = 4a

Solving
ab + ac = 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
ab + -4a + ac = 4a + -4a

Reorder the terms:
-4a + ab + ac = 4a + -4a

Combine like terms: 4a + -4a = 0
-4a + ab + ac = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(-4 + b + c) = 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 '(-4 + b + c)' equal to zero and attempt to solve:

Simplifying
-4 + b + c = 0

Solving
-4 + b + c = 0

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

Add '4' to each side of the equation.
-4 + b + 4 + c = 0 + 4

Reorder the terms:
-4 + 4 + b + c = 0 + 4

Combine like terms: -4 + 4 = 0
0 + b + c = 0 + 4
b + c = 0 + 4

Combine like terms: 0 + 4 = 4
b + c = 4

Add '-1b' to each side of the equation.
b + -1b + c = 4 + -1b

Combine like terms: b + -1b = 0
0 + c = 4 + -1b
c = 4 + -1b

Add '-1c' to each side of the equation.
c + -1c = 4 + -1b + -1c

Combine like terms: c + -1c = 0
0 = 4 + -1b + -1c

Simplifying
0 = 4 + -1b + -1c

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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