2xy-3x(y-2x)=

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Solution for 2xy-3x(y-2x)= equation: 


Simplifying
2xy + -3x(y + -2x) = 0

Reorder the terms:
2xy + -3x(-2x + y) = 0
2xy + (-2x * -3x + y * -3x) = 0

Reorder the terms:
2xy + (-3xy + 6x2) = 0
2xy + (-3xy + 6x2) = 0

Combine like terms: 2xy + -3xy = -1xy
-1xy + 6x2 = 0

Solving
-1xy + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1y + 6x) = 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 '(-1y + 6x)' equal to zero and attempt to solve:

Simplifying
-1y + 6x = 0

Reorder the terms:
6x + -1y = 0

Solving
6x + -1y = 0

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

Add 'y' to each side of the equation.
6x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
6x + 0 = 0 + y
6x = 0 + y
Remove the zero:
6x = y

Divide each side by '6'.
x = 0.1666666667y

Simplifying
x = 0.1666666667y
Solution
x = {0, 0.1666666667y}

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