5xy-2x(x-y)=

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


Simplifying
5xy + -2x(x + -1y) = 0
5xy + (x * -2x + -1y * -2x) = 0

Reorder the terms:
5xy + (2xy + -2x2) = 0
5xy + (2xy + -2x2) = 0

Combine like terms: 5xy + 2xy = 7xy
7xy + -2x2 = 0

Solving
7xy + -2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(7y + -2x) = 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 '(7y + -2x)' equal to zero and attempt to solve:

Simplifying
7y + -2x = 0

Reorder the terms:
-2x + 7y = 0

Solving
-2x + 7y = 0

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

Add '-7y' to each side of the equation.
-2x + 7y + -7y = 0 + -7y

Combine like terms: 7y + -7y = 0
-2x + 0 = 0 + -7y
-2x = 0 + -7y
Remove the zero:
-2x = -7y

Divide each side by '-2'.
x = 3.5y

Simplifying
x = 3.5y
Solution
x = {0, 3.5y}

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