4x-3yx+16yx=20xy-1x

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Solution for 4x-3yx+16yx=20xy-1x equation: 


Simplifying
4x + -3yx + 16yx = 20xy + -1x

Combine like terms: -3xy + 16xy = 13xy
4x + 13xy = 20xy + -1x

Reorder the terms:
4x + 13xy = -1x + 20xy

Solving
4x + 13xy = -1x + 20xy

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
4x + x + 13xy = -1x + x + 20xy

Combine like terms: 4x + x = 5x
5x + 13xy = -1x + x + 20xy

Combine like terms: -1x + x = 0
5x + 13xy = 0 + 20xy
5x + 13xy = 20xy

Add '-20xy' to each side of the equation.
5x + 13xy + -20xy = 20xy + -20xy

Combine like terms: 13xy + -20xy = -7xy
5x + -7xy = 20xy + -20xy

Combine like terms: 20xy + -20xy = 0
5x + -7xy = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(5 + -7y) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(5 + -7y)' equal to zero and attempt to solve:

Simplifying
5 + -7y = 0

Solving
5 + -7y = 0

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

Add '-5' to each side of the equation.
5 + -5 + -7y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -7y = 0 + -5
-7y = 0 + -5

Combine like terms: 0 + -5 = -5
-7y = -5

Add '7y' to each side of the equation.
-7y + 7y = -5 + 7y

Combine like terms: -7y + 7y = 0
0 = -5 + 7y

Simplifying
0 = -5 + 7y

The solution to this equation could not be determined.

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

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