y^2+5xy=-6

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Solution for y^2+5xy=-6 equation: 


Simplifying
y2 + 5xy = -6

Reorder the terms:
5xy + y2 = -6

Solving
5xy + y2 = -6

Solving for variable 'x'.

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

Add '-1y2' to each side of the equation.
5xy + y2 + -1y2 = -6 + -1y2

Combine like terms: y2 + -1y2 = 0
5xy + 0 = -6 + -1y2
5xy = -6 + -1y2

Divide each side by '5y'.
x = -1.2y-1 + -0.2y

Simplifying
x = -1.2y-1 + -0.2y

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