3ax+6ab=7ax+3ab

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Solution for 3ax+6ab=7ax+3ab equation: 


Simplifying
3ax + 6ab = 7ax + 3ab

Reorder the terms:
6ab + 3ax = 7ax + 3ab

Reorder the terms:
6ab + 3ax = 3ab + 7ax

Solving
6ab + 3ax = 3ab + 7ax

Solving for variable 'a'.

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

Add '-3ab' to each side of the equation.
6ab + -3ab + 3ax = 3ab + -3ab + 7ax

Combine like terms: 6ab + -3ab = 3ab
3ab + 3ax = 3ab + -3ab + 7ax

Combine like terms: 3ab + -3ab = 0
3ab + 3ax = 0 + 7ax
3ab + 3ax = 7ax

Add '-7ax' to each side of the equation.
3ab + 3ax + -7ax = 7ax + -7ax

Combine like terms: 3ax + -7ax = -4ax
3ab + -4ax = 7ax + -7ax

Combine like terms: 7ax + -7ax = 0
3ab + -4ax = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(3b + -4x) = 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 '(3b + -4x)' equal to zero and attempt to solve:

Simplifying
3b + -4x = 0

Solving
3b + -4x = 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 + -4x = 0 + -3b

Combine like terms: 3b + -3b = 0
0 + -4x = 0 + -3b
-4x = 0 + -3b
Remove the zero:
-4x = -3b

Add '4x' to each side of the equation.
-4x + 4x = -3b + 4x

Combine like terms: -4x + 4x = 0
0 = -3b + 4x

Simplifying
0 = -3b + 4x

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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