Solve for y (complex solution)
\left\{\begin{matrix}\\y=1\text{, }&\text{unconditionally}\\y\in \mathrm{C}\text{, }&x=0\end{matrix}\right.
Solve for y
\left\{\begin{matrix}\\y=1\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&x=0\end{matrix}\right.
Solve for x (complex solution)
\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&y=1\end{matrix}\right.
Solve for x
\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y=1\end{matrix}\right.
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x^{3}y=x^{3}
Add x^{3} to both sides. Anything plus zero gives itself.
\frac{x^{3}y}{x^{3}}=\frac{x^{3}}{x^{3}}
Divide both sides by x^{3}.
y=\frac{x^{3}}{x^{3}}
Dividing by x^{3} undoes the multiplication by x^{3}.
y=1
Divide x^{3} by x^{3}.
x^{3}y=x^{3}
Add x^{3} to both sides. Anything plus zero gives itself.
\frac{x^{3}y}{x^{3}}=\frac{x^{3}}{x^{3}}
Divide both sides by x^{3}.
y=\frac{x^{3}}{x^{3}}
Dividing by x^{3} undoes the multiplication by x^{3}.
y=1
Divide x^{3} by x^{3}.
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Limits
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