4(xy)=(4x)

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Solution for 4(xy)=(4x) equation:


Simplifying
4(xy) = (4x)

Solving
4xy = (4x)

Solving for variable 'x'.

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

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

Combine like terms: (4x) + (-4x) = 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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