(-3x-5y)(-9x+5y)=

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Solution for (-3x-5y)(-9x+5y)= equation: 


Simplifying
(-3x + -5y)(-9x + 5y) = 0

Multiply (-3x + -5y) * (-9x + 5y)
(-3x * (-9x + 5y) + -5y * (-9x + 5y)) = 0
((-9x * -3x + 5y * -3x) + -5y * (-9x + 5y)) = 0

Reorder the terms:
((-15xy + 27x2) + -5y * (-9x + 5y)) = 0
((-15xy + 27x2) + -5y * (-9x + 5y)) = 0
(-15xy + 27x2 + (-9x * -5y + 5y * -5y)) = 0
(-15xy + 27x2 + (45xy + -25y2)) = 0

Reorder the terms:
(-15xy + 45xy + 27x2 + -25y2) = 0

Combine like terms: -15xy + 45xy = 30xy
(30xy + 27x2 + -25y2) = 0

Solving
30xy + 27x2 + -25y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9x + -5y)(3x + 5y) = 0


Subproblem 1
Set the factor '(9x + -5y)' equal to zero and attempt to solve:

Simplifying
9x + -5y = 0

Solving
9x + -5y = 0

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

Add '5y' to each side of the equation.
9x + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
9x + 0 = 0 + 5y
9x = 0 + 5y
Remove the zero:
9x = 5y

Divide each side by '9'.
x = 0.5555555556y

Simplifying
x = 0.5555555556y

Subproblem 2
Set the factor '(3x + 5y)' equal to zero and attempt to solve:

Simplifying
3x + 5y = 0

Solving
3x + 5y = 0

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

Add '-5y' to each side of the equation.
3x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
3x + 0 = 0 + -5y
3x = 0 + -5y
Remove the zero:
3x = -5y

Divide each side by '3'.
x = -1.666666667y

Simplifying
x = -1.666666667y
Solution
x = {0.5555555556y, -1.666666667y}

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