x^2-5ln(y)+y^2=18

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Solution for x^2-5ln(y)+y^2=18 equation:


Simplifying
x2 + -5ln(y) + y2 = 18

Multiply ln * y
x2 + -5lny + y2 = 18

Reorder the terms:
-5lny + x2 + y2 = 18

Solving
-5lny + x2 + y2 = 18

Solving for variable 'l'.

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

Add '-1x2' to each side of the equation.
-5lny + x2 + -1x2 + y2 = 18 + -1x2

Combine like terms: x2 + -1x2 = 0
-5lny + 0 + y2 = 18 + -1x2
-5lny + y2 = 18 + -1x2

Add '-1y2' to each side of the equation.
-5lny + y2 + -1y2 = 18 + -1x2 + -1y2

Combine like terms: y2 + -1y2 = 0
-5lny + 0 = 18 + -1x2 + -1y2
-5lny = 18 + -1x2 + -1y2

Divide each side by '-5ny'.
l = -3.6n-1y-1 + 0.2n-1x2y-1 + 0.2n-1y

Simplifying
l = -3.6n-1y-1 + 0.2n-1x2y-1 + 0.2n-1y

Reorder the terms:
l = 0.2n-1x2y-1 + -3.6n-1y-1 + 0.2n-1y

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