6ax=42ab

Solution for 6ax=42ab equation:

Simplifying
6ax = 42ab

Solving
6ax = 42ab

Solving for variable 'a'.

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

Add '-42ab' to each side of the equation.
-42ab + 6ax = 42ab + -42ab

Combine like terms: 42ab + -42ab = 0
-42ab + 6ax = 0

Factor out the Greatest Common Factor (GCF), '6a'.
6a(-7b + x) = 0

Ignore the factor 6.
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 + x)' equal to zero and attempt to solve:

Simplifying
-7b + x = 0

Solving
-7b + x = 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 + x = 0 + 7b

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

Add '-1x' to each side of the equation.
x + -1x = 7b + -1x

Combine like terms: x + -1x = 0
0 = 7b + -1x

Simplifying
0 = 7b + -1x

The solution to this equation could not be determined.

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