A*b*4=4*a*b

Solution for A*b*4=4*a*b equation:

Simplifying
A * b * 4 = 4a * b

Reorder the terms for easier multiplication:
4A * b = 4a * b

Multiply A * b
4bA = 4a * b

Multiply a * b
4bA = 4ab

Solving
4bA = 4ab

Solving for variable 'b'.

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

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

Combine like terms: 4ab + -4ab = 0
-4ab + 4bA = 0

Factor out the Greatest Common Factor (GCF), '4b'.
4b(-1a + A) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 'b' equal to zero and attempt to solve:

Simplifying
b = 0

Solving
b = 0

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

Simplifying
b = 0
Subproblem 2
Set the factor '(-1a + A)' equal to zero and attempt to solve:

Simplifying
-1a + A = 0

Reorder the terms:
A + -1a = 0

Solving
A + -1a = 0

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

Add '-1A' to each side of the equation.
A + -1A + -1a = 0 + -1A

Combine like terms: A + -1A = 0
0 + -1a = 0 + -1A
-1a = 0 + -1A
Remove the zero:
-1a = -1A

Add 'a' to each side of the equation.
-1a + a = -1A + a

Combine like terms: -1a + a = 0
0 = -1A + a

Simplifying
0 = -1A + a

The solution to this equation could not be determined.

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