7xy-6x^2-2y^2=0

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Solution for 7xy-6x^2-2y^2=0 equation: 


Simplifying
7xy + -6x2 + -2y2 = 0

Solving
7xy + -6x2 + -2y2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(-2x + y)' equal to zero and attempt to solve:

Simplifying
-2x + y = 0

Solving
-2x + y = 0

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

Add '-1y' to each side of the equation.
-2x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
-2x + 0 = 0 + -1y
-2x = 0 + -1y
Remove the zero:
-2x = -1y

Divide each side by '-2'.
x = 0.5y

Simplifying
x = 0.5y

Subproblem 2
Set the factor '(3x + -2y)' equal to zero and attempt to solve:

Simplifying
3x + -2y = 0

Solving
3x + -2y = 0

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

Add '2y' to each side of the equation.
3x + -2y + 2y = 0 + 2y

Combine like terms: -2y + 2y = 0
3x + 0 = 0 + 2y
3x = 0 + 2y
Remove the zero:
3x = 2y

Divide each side by '3'.
x = 0.6666666667y

Simplifying
x = 0.6666666667y
Solution
x = {0.5y, 0.6666666667y}

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