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

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


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

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

Remove parenthesis around (-1xy)
(6 + 4x + 6y) * -1xy = 0

Reorder the terms for easier multiplication:
-1xy(6 + 4x + 6y) = 0
(6 * -1xy + 4x * -1xy + 6y * -1xy) = 0

Reorder the terms:
(-6xy + -6xy2 + -4x2y) = 0
(-6xy + -6xy2 + -4x2y) = 0

Solving
-6xy + -6xy2 + -4x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-2xy'.
-2xy(3 + 3y + 2x) = 0

Ignore the factor -2.

Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve:

Simplifying
xy = 0

Solving
xy = 0

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

Simplifying
xy = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(3 + 3y + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 3y + 2x = 0

Reorder the terms:
3 + 2x + 3y = 0

Solving
3 + 2x + 3y = 0

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

Add '-3' to each side of the equation.
3 + 2x + -3 + 3y = 0 + -3

Reorder the terms:
3 + -3 + 2x + 3y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x + 3y = 0 + -3
2x + 3y = 0 + -3

Combine like terms: 0 + -3 = -3
2x + 3y = -3

Add '-3y' to each side of the equation.
2x + 3y + -3y = -3 + -3y

Combine like terms: 3y + -3y = 0
2x + 0 = -3 + -3y
2x = -3 + -3y

Divide each side by '2'.
x = -1.5 + -1.5y

Simplifying
x = -1.5 + -1.5y
Solution
x = {-1.5 + -1.5y}

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