x^2-3xy-54y^2=

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Solution for x^2-3xy-54y^2= equation: 


Simplifying
x2 + -3xy + -54y2 = 0

Reorder the terms:
-3xy + x2 + -54y2 = 0

Solving
-3xy + x2 + -54y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -9y)(x + 6y) = 0


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

Simplifying
x + -9y = 0

Solving
x + -9y = 0

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

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

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

Simplifying
x = 9y

Subproblem 2
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
Solution
x = {9y, -6y}

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