y^2+6xy-6=0

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


Simplifying
y2 + 6xy + -6 = 0

Reorder the terms:
-6 + 6xy + y2 = 0

Solving
-6 + 6xy + y2 = 0

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6xy + 6 + y2 = 0 + 6

Reorder the terms:
-6 + 6 + 6xy + y2 = 0 + 6

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

Combine like terms: 0 + 6 = 6
6xy + y2 = 6

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

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

Divide each side by '6y'.
x = y-1 + -0.1666666667y

Simplifying
x = y-1 + -0.1666666667y

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