3x(3y-2)-7xy-2x(2y-2)=

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Solution for 3x(3y-2)-7xy-2x(2y-2)= equation: 


Simplifying
3x(3y + -2) + -7xy + -2x(2y + -2) = 0

Reorder the terms:
3x(-2 + 3y) + -7xy + -2x(2y + -2) = 0
(-2 * 3x + 3y * 3x) + -7xy + -2x(2y + -2) = 0
(-6x + 9xy) + -7xy + -2x(2y + -2) = 0

Reorder the terms:
-6x + 9xy + -7xy + -2x(-2 + 2y) = 0
-6x + 9xy + -7xy + (-2 * -2x + 2y * -2x) = 0
-6x + 9xy + -7xy + (4x + -4xy) = 0

Reorder the terms:
-6x + 4x + 9xy + -7xy + -4xy = 0

Combine like terms: -6x + 4x = -2x
-2x + 9xy + -7xy + -4xy = 0

Combine like terms: 9xy + -7xy = 2xy
-2x + 2xy + -4xy = 0

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

Solving
-2x + -2xy = 0

Solving for variable 'x'.

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

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