Solve for y
y=x-2-\frac{50}{x}
x\neq 0
Solve for x
x=\frac{\sqrt{y^{2}+4y+204}+y+2}{2}
x=\frac{-\sqrt{y^{2}+4y+204}+y+2}{2}
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x^{2}-2x-50=yx
Multiply both sides of the equation by x.
yx=x^{2}-2x-50
Swap sides so that all variable terms are on the left hand side.
xy=x^{2}-2x-50
The equation is in standard form.
\frac{xy}{x}=\frac{x^{2}-2x-50}{x}
Divide both sides by x.
y=\frac{x^{2}-2x-50}{x}
Dividing by x undoes the multiplication by x.
y=x-2-\frac{50}{x}
Divide x^{2}-2x-50 by x.
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