2x-y*x=4y*x

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Solution for 2x-y*x=4y*x equation: 


Simplifying
2x + -1y * x = 4y * x

Multiply y * x
2x + -1xy = 4y * x

Multiply y * x
2x + -1xy = 4xy

Solving
2x + -1xy = 4xy

Solving for variable 'x'.

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

Add '-4xy' to each side of the equation.
2x + -1xy + -4xy = 4xy + -4xy

Combine like terms: -1xy + -4xy = -5xy
2x + -5xy = 4xy + -4xy

Combine like terms: 4xy + -4xy = 0
2x + -5xy = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(2 + -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 '(2 + -5y)' equal to zero and attempt to solve:

Simplifying
2 + -5y = 0

Solving
2 + -5y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5y = 0 + -2
-5y = 0 + -2

Combine like terms: 0 + -2 = -2
-5y = -2

Add '5y' to each side of the equation.
-5y + 5y = -2 + 5y

Combine like terms: -5y + 5y = 0
0 = -2 + 5y

Simplifying
0 = -2 + 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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