(9x-6y)(-7x-8y)=

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Solution for (9x-6y)(-7x-8y)= equation: 


Simplifying
(9x + -6y)(-7x + -8y) = 0

Multiply (9x + -6y) * (-7x + -8y)
(9x * (-7x + -8y) + -6y * (-7x + -8y)) = 0
((-7x * 9x + -8y * 9x) + -6y * (-7x + -8y)) = 0

Reorder the terms:
((-72xy + -63x2) + -6y * (-7x + -8y)) = 0
((-72xy + -63x2) + -6y * (-7x + -8y)) = 0
(-72xy + -63x2 + (-7x * -6y + -8y * -6y)) = 0
(-72xy + -63x2 + (42xy + 48y2)) = 0

Reorder the terms:
(-72xy + 42xy + -63x2 + 48y2) = 0

Combine like terms: -72xy + 42xy = -30xy
(-30xy + -63x2 + 48y2) = 0

Solving
-30xy + -63x2 + 48y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-10xy + -21x2 + 16y2) = 0

Factor a trinomial.
3((-7x + -8y)(3x + -2y)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-7x + -8y)' equal to zero and attempt to solve:

Simplifying
-7x + -8y = 0

Solving
-7x + -8y = 0

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

Add '8y' to each side of the equation.
-7x + -8y + 8y = 0 + 8y

Combine like terms: -8y + 8y = 0
-7x + 0 = 0 + 8y
-7x = 0 + 8y
Remove the zero:
-7x = 8y

Divide each side by '-7'.
x = -1.142857143y

Simplifying
x = -1.142857143y

Subproblem 2
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
Solution
x = {-1.142857143y, 0.6666666667y}

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