(4x+3y+2)(-xy)=

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Solution for (4x+3y+2)(-xy)= equation: 


Simplifying
(4x + 3y + 2)(-1xy) = 0

Reorder the terms:
(2 + 4x + 3y)(-1xy) = 0

Remove parenthesis around (-1xy)
(2 + 4x + 3y) * -1xy = 0

Reorder the terms for easier multiplication:
-1xy(2 + 4x + 3y) = 0
(2 * -1xy + 4x * -1xy + 3y * -1xy) = 0

Reorder the terms:
(-2xy + -3xy2 + -4x2y) = 0
(-2xy + -3xy2 + -4x2y) = 0

Solving
-2xy + -3xy2 + -4x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1xy'.
-1xy(2 + 3y + 4x) = 0

Ignore the factor -1.

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 '(2 + 3y + 4x)' equal to zero and attempt to solve:

Simplifying
2 + 3y + 4x = 0

Reorder the terms:
2 + 4x + 3y = 0

Solving
2 + 4x + 3y = 0

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

Add '-2' to each side of the equation.
2 + 4x + -2 + 3y = 0 + -2

Reorder the terms:
2 + -2 + 4x + 3y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 4x + 3y = 0 + -2
4x + 3y = 0 + -2

Combine like terms: 0 + -2 = -2
4x + 3y = -2

Add '-3y' to each side of the equation.
4x + 3y + -3y = -2 + -3y

Combine like terms: 3y + -3y = 0
4x + 0 = -2 + -3y
4x = -2 + -3y

Divide each side by '4'.
x = -0.5 + -0.75y

Simplifying
x = -0.5 + -0.75y
Solution
x = {-0.5 + -0.75y}

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