3ax-6ab=ab

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Solution for 3ax-6ab=ab equation:


Simplifying
3ax + -6ab = ab

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

Solving
-6ab + 3ax = ab

Solving for variable 'a'.

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

Add '-1ab' to each side of the equation.
-6ab + -1ab + 3ax = ab + -1ab

Combine like terms: -6ab + -1ab = -7ab
-7ab + 3ax = ab + -1ab

Combine like terms: ab + -1ab = 0
-7ab + 3ax = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(-7b + 3x) = 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 '(-7b + 3x)' equal to zero and attempt to solve: Simplifying -7b + 3x = 0 Solving -7b + 3x = 0 Move all terms containing a to the left, all other terms to the right. Add '7b' to each side of the equation. -7b + 7b + 3x = 0 + 7b Combine like terms: -7b + 7b = 0 0 + 3x = 0 + 7b 3x = 0 + 7b Remove the zero: 3x = 7b Add '-3x' to each side of the equation. 3x + -3x = 7b + -3x Combine like terms: 3x + -3x = 0 0 = 7b + -3x Simplifying 0 = 7b + -3x 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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