2xy+4x=7xy+0

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Solution for 2xy+4x=7xy+0 equation: 


Simplifying
2xy + 4x = 7xy + 0

Reorder the terms:
4x + 2xy = 7xy + 0

Reorder the terms:
4x + 2xy = 0 + 7xy
Remove the zero:
4x + 2xy = 7xy

Solving
4x + 2xy = 7xy

Solving for variable 'x'.

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

Add '-7xy' to each side of the equation.
4x + 2xy + -7xy = 7xy + -7xy

Combine like terms: 2xy + -7xy = -5xy
4x + -5xy = 7xy + -7xy

Combine like terms: 7xy + -7xy = 0
4x + -5xy = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(4 + -5y) = 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 '(4 + -5y)' equal to zero and attempt to solve:

Simplifying
4 + -5y = 0

Solving
4 + -5y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5y = 0 + -4
-5y = 0 + -4

Combine like terms: 0 + -4 = -4
-5y = -4

Add '5y' to each side of the equation.
-5y + 5y = -4 + 5y

Combine like terms: -5y + 5y = 0
0 = -4 + 5y

Simplifying
0 = -4 + 5y

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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