8x^2+30xy-27y^2=

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Solution for 8x^2+30xy-27y^2= equation: 


Simplifying
8x2 + 30xy + -27y2 = 0

Reorder the terms:
30xy + 8x2 + -27y2 = 0

Solving
30xy + 8x2 + -27y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4x + -3y)(2x + 9y) = 0


Subproblem 1
Set the factor '(4x + -3y)' equal to zero and attempt to solve:

Simplifying
4x + -3y = 0

Solving
4x + -3y = 0

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

Add '3y' to each side of the equation.
4x + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
4x + 0 = 0 + 3y
4x = 0 + 3y
Remove the zero:
4x = 3y

Divide each side by '4'.
x = 0.75y

Simplifying
x = 0.75y

Subproblem 2
Set the factor '(2x + 9y)' equal to zero and attempt to solve:

Simplifying
2x + 9y = 0

Solving
2x + 9y = 0

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

Add '-9y' to each side of the equation.
2x + 9y + -9y = 0 + -9y

Combine like terms: 9y + -9y = 0
2x + 0 = 0 + -9y
2x = 0 + -9y
Remove the zero:
2x = -9y

Divide each side by '2'.
x = -4.5y

Simplifying
x = -4.5y
Solution
x = {0.75y, -4.5y}

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