5x^2-30xy+3xy-18y^2=

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Solution for 5x^2-30xy+3xy-18y^2= equation: 


Simplifying
5x2 + -30xy + 3xy + -18y2 = 0

Reorder the terms:
-30xy + 3xy + 5x2 + -18y2 = 0

Combine like terms: -30xy + 3xy = -27xy
-27xy + 5x2 + -18y2 = 0

Solving
-27xy + 5x2 + -18y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -6y)(5x + 3y) = 0


Subproblem 1
Set the factor '(x + -6y)' equal to zero and attempt to solve:

Simplifying
x + -6y = 0

Solving
x + -6y = 0

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

Add '6y' to each side of the equation.
x + -6y + 6y = 0 + 6y

Combine like terms: -6y + 6y = 0
x + 0 = 0 + 6y
x = 0 + 6y
Remove the zero:
x = 6y

Simplifying
x = 6y

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 = {6y, -0.6y}

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