5ax+bx=5abx

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Solution for 5ax+bx=5abx equation: 


Simplifying
5ax + bx = 5abx

Solving
5ax + bx = 5abx

Solving for variable 'a'.

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

Add '-5abx' to each side of the equation.
5ax + -5abx + bx = 5abx + -5abx

Reorder the terms:
-5abx + 5ax + bx = 5abx + -5abx

Combine like terms: 5abx + -5abx = 0
-5abx + 5ax + bx = 0

Add '-1bx' to each side of the equation.
-5abx + 5ax + bx + -1bx = 0 + -1bx

Combine like terms: bx + -1bx = 0
-5abx + 5ax + 0 = 0 + -1bx
-5abx + 5ax = 0 + -1bx
Remove the zero:
-5abx + 5ax = -1bx

Combine like terms: -1bx + bx = 0
-5abx + 5ax + bx = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-5ab + 5a + b) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-5ab + 5a + b)' equal to zero and attempt to solve:

Simplifying
-5ab + 5a + b = 0

Reorder the terms:
5a + -5ab + b = 0

Solving
5a + -5ab + b = 0

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

Add '-1b' to each side of the equation.
5a + -5ab + b + -1b = 0 + -1b

Combine like terms: b + -1b = 0
5a + -5ab + 0 = 0 + -1b
5a + -5ab = 0 + -1b
Remove the zero:
5a + -5ab = -1b

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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