(-3x+2y)(-5x+3y)=

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Solution for (-3x+2y)(-5x+3y)= equation: 


Simplifying
(-3x + 2y)(-5x + 3y) = 0

Multiply (-3x + 2y) * (-5x + 3y)
(-3x * (-5x + 3y) + 2y * (-5x + 3y)) = 0
((-5x * -3x + 3y * -3x) + 2y * (-5x + 3y)) = 0

Reorder the terms:
((-9xy + 15x2) + 2y * (-5x + 3y)) = 0
((-9xy + 15x2) + 2y * (-5x + 3y)) = 0
(-9xy + 15x2 + (-5x * 2y + 3y * 2y)) = 0
(-9xy + 15x2 + (-10xy + 6y2)) = 0

Reorder the terms:
(-9xy + -10xy + 15x2 + 6y2) = 0

Combine like terms: -9xy + -10xy = -19xy
(-19xy + 15x2 + 6y2) = 0

Solving
-19xy + 15x2 + 6y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3x + -2y)(5x + -3y) = 0


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 '(5x + -3y)' equal to zero and attempt to solve:

Simplifying
5x + -3y = 0

Solving
5x + -3y = 0

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

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

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

Divide each side by '5'.
x = 0.6y

Simplifying
x = 0.6y
Solution
x = {0.6666666667y, 0.6y}

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