7x^2+54xy-81y^2=0

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Solution for 7x^2+54xy-81y^2=0 equation: 


Simplifying
7x2 + 54xy + -81y2 = 0

Reorder the terms:
54xy + 7x2 + -81y2 = 0

Solving
54xy + 7x2 + -81y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7x + -9y)(x + 9y) = 0


Subproblem 1
Set the factor '(7x + -9y)' equal to zero and attempt to solve:

Simplifying
7x + -9y = 0

Solving
7x + -9y = 0

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

Add '9y' to each side of the equation.
7x + -9y + 9y = 0 + 9y

Combine like terms: -9y + 9y = 0
7x + 0 = 0 + 9y
7x = 0 + 9y
Remove the zero:
7x = 9y

Divide each side by '7'.
x = 1.285714286y

Simplifying
x = 1.285714286y

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 = {1.285714286y, -9y}

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