4x=2xy

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Solution for 4x=2xy equation:


Simplifying
4x = 2xy

Solving
4x = 2xy

Solving for variable 'x'.

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

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

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

Factor out the Greatest Common Factor (GCF), '2x'.
2x(2 + -1y) = 0

Ignore the factor 2.

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 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 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 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Add 'y' to each side of the equation. -1y + y = -2 + y Combine like terms: -1y + y = 0 0 = -2 + y Simplifying 0 = -2 + y 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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