6xy+ay^2=18-x^2

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Solution for 6xy+ay^2=18-x^2 equation:


Simplifying
6xy + ay2 = 18 + -1x2

Reorder the terms:
ay2 + 6xy = 18 + -1x2

Solving
ay2 + 6xy = 18 + -1x2

Solving for variable 'a'.

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

Add '-6xy' to each side of the equation.
ay2 + 6xy + -6xy = 18 + -6xy + -1x2

Combine like terms: 6xy + -6xy = 0
ay2 + 0 = 18 + -6xy + -1x2
ay2 = 18 + -6xy + -1x2

Divide each side by 'y2'.
a = 18y-2 + -6xy-1 + -1x2y-2

Simplifying
a = 18y-2 + -6xy-1 + -1x2y-2

Reorder the terms:
a = -6xy-1 + -1x2y-2 + 18y-2

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