Solve for y
y=\frac{36-x^{\frac{3}{2}}}{x}
x>0
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xy+x\sqrt{x}=36
Multiply both sides of the equation by x.
xy=36-x\sqrt{x}
Subtract x\sqrt{x} from both sides.
xy=-\sqrt{x}x+36
Reorder the terms.
\frac{xy}{x}=\frac{36-x^{\frac{3}{2}}}{x}
Divide both sides by x.
y=\frac{36-x^{\frac{3}{2}}}{x}
Dividing by x undoes the multiplication by x.
y=-\sqrt{x}+\frac{36}{x}
Divide -x^{\frac{3}{2}}+36 by x.
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