Solve for y
y=\frac{2}{x^{2}}
x\neq 0
Solve for x (complex solution)
x=-\sqrt{2}y^{-\frac{1}{2}}
x=\sqrt{2}y^{-\frac{1}{2}}\text{, }y\neq 0
Solve for x
x=\sqrt{\frac{2}{y}}
x=-\sqrt{\frac{2}{y}}\text{, }y>0
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x^{2}y=2
The equation is in standard form.
\frac{x^{2}y}{x^{2}}=\frac{2}{x^{2}}
Divide both sides by x^{2}.
y=\frac{2}{x^{2}}
Dividing by x^{2} undoes the multiplication by x^{2}.
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