x^2+5xy-36y^2=

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Solution for x^2+5xy-36y^2= equation: 


Simplifying
x2 + 5xy + -36y2 = 0

Reorder the terms:
5xy + x2 + -36y2 = 0

Solving
5xy + x2 + -36y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -4y)(x + 9y) = 0


Subproblem 1
Set the factor '(x + -4y)' equal to zero and attempt to solve:

Simplifying
x + -4y = 0

Solving
x + -4y = 0

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

Add '4y' to each side of the equation.
x + -4y + 4y = 0 + 4y

Combine like terms: -4y + 4y = 0
x + 0 = 0 + 4y
x = 0 + 4y
Remove the zero:
x = 4y

Simplifying
x = 4y

Subproblem 2
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
Solution
x = {4y, -9y}

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