-5x^2+11xy-2y^2=

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Solution for -5x^2+11xy-2y^2= equation: 


Simplifying
-5x2 + 11xy + -2y2 = 0

Reorder the terms:
11xy + -5x2 + -2y2 = 0

Solving
11xy + -5x2 + -2y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5x + y)(x + -2y) = 0


Subproblem 1
Set the factor '(-5x + y)' equal to zero and attempt to solve:

Simplifying
-5x + y = 0

Solving
-5x + y = 0

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

Add '-1y' to each side of the equation.
-5x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
-5x + 0 = 0 + -1y
-5x = 0 + -1y
Remove the zero:
-5x = -1y

Divide each side by '-5'.
x = 0.2y

Simplifying
x = 0.2y

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

Simplifying
x + -2y = 0

Solving
x + -2y = 0

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

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

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

Simplifying
x = 2y
Solution
x = {0.2y, 2y}

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