4x(y+2)-6(xy-x)=

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


Simplifying
4x(y + 2) + -6(xy + -1x) = 0

Reorder the terms:
4x(2 + y) + -6(xy + -1x) = 0
(2 * 4x + y * 4x) + -6(xy + -1x) = 0
(8x + 4xy) + -6(xy + -1x) = 0

Reorder the terms:
8x + 4xy + -6(-1x + xy) = 0
8x + 4xy + (-1x * -6 + xy * -6) = 0
8x + 4xy + (6x + -6xy) = 0

Reorder the terms:
8x + 6x + 4xy + -6xy = 0

Combine like terms: 8x + 6x = 14x
14x + 4xy + -6xy = 0

Combine like terms: 4xy + -6xy = -2xy
14x + -2xy = 0

Solving
14x + -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(7 + -1y) = 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 '(7 + -1y)' equal to zero and attempt to solve:

Simplifying
7 + -1y = 0

Solving
7 + -1y = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1y = 0 + -7
-1y = 0 + -7

Combine like terms: 0 + -7 = -7
-1y = -7

Add 'y' to each side of the equation.
-1y + y = -7 + y

Combine like terms: -1y + y = 0
0 = -7 + y

Simplifying
0 = -7 + y

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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