5x(2-6)=4xy

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Solution for 5x(2-6)=4xy equation: 


Simplifying
5x(2 + -6) = 4xy

Combine like terms: 2 + -6 = -4
5x(-4) = 4xy

Reorder the terms for easier multiplication:
5 * -4x = 4xy

Multiply 5 * -4
-20x = 4xy

Solving
-20x = 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.
-20x + -4xy = 4xy + -4xy

Combine like terms: 4xy + -4xy = 0
-20x + -4xy = 0

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

Simplifying
5 + y = 0

Solving
5 + y = 0

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

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

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

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

Add '-1y' to each side of the equation.
y + -1y = -5 + -1y

Combine like terms: y + -1y = 0
0 = -5 + -1y

Simplifying
0 = -5 + -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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