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

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


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

Multiply (-6x + -4y) * (2x + 2y)
(-6x * (2x + 2y) + -4y * (2x + 2y)) = 0
((2x * -6x + 2y * -6x) + -4y * (2x + 2y)) = 0

Reorder the terms:
((-12xy + -12x2) + -4y * (2x + 2y)) = 0
((-12xy + -12x2) + -4y * (2x + 2y)) = 0
(-12xy + -12x2 + (2x * -4y + 2y * -4y)) = 0
(-12xy + -12x2 + (-8xy + -8y2)) = 0

Reorder the terms:
(-12xy + -8xy + -12x2 + -8y2) = 0

Combine like terms: -12xy + -8xy = -20xy
(-20xy + -12x2 + -8y2) = 0

Solving
-20xy + -12x2 + -8y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-4'.
-4(5xy + 3x2 + 2y2) = 0

Factor a trinomial.
-4((3x + 2y)(x + y)) = 0

Ignore the factor -4.

Subproblem 1
Set the factor '(3x + 2y)' equal to zero and attempt to solve:

Simplifying
3x + 2y = 0

Solving
3x + 2y = 0

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

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

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

Divide each side by '3'.
x = -0.6666666667y

Simplifying
x = -0.6666666667y

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

Simplifying
x + y = 0

Solving
x + y = 0

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

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

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

Simplifying
x = -1y
Solution
x = {-0.6666666667y, -1y}

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