ax=abw

Solution for ax=abw equation:

Simplifying
ax = abw

Solving
ax = abw

Solving for variable 'a'.

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

Add '-1abw' to each side of the equation.
-1abw + ax = abw + -1abw

Combine like terms: abw + -1abw = 0
-1abw + ax = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(-1bw + x) = 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 '(-1bw + x)' equal to zero and attempt to solve:

Simplifying
-1bw + x = 0

Solving
-1bw + x = 0

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

Add 'bw' to each side of the equation.
-1bw + bw + x = 0 + bw

Combine like terms: -1bw + bw = 0
0 + x = 0 + bw
x = 0 + bw
Remove the zero:
x = bw

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

Combine like terms: x + -1x = 0
0 = bw + -1x

Simplifying
0 = bw + -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}