3x+4xy=7x

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Solution for 3x+4xy=7x equation: 


Simplifying
3x + 4xy = 7x

Solving
3x + 4xy = 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
3x + -7x + 4xy = 7x + -7x

Combine like terms: 3x + -7x = -4x
-4x + 4xy = 7x + -7x

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

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-1 + y) = 0

Ignore the factor 4.

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 '(-1 + y)' equal to zero and attempt to solve:

Simplifying
-1 + y = 0

Solving
-1 + y = 0

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

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

Combine like terms: -1 + 1 = 0
0 + y = 0 + 1
y = 0 + 1

Combine like terms: 0 + 1 = 1
y = 1

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

Combine like terms: y + -1y = 0
0 = 1 + -1y

Simplifying
0 = 1 + -1y

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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