Solve for y (complex solution)
y=\frac{\sqrt{\frac{w}{w-z}}}{3}
w\neq z
Solve for y
y=\frac{\sqrt{\frac{w}{w-z}}}{3}
\left(w\geq 0\text{ and }w>z\right)\text{ or }\left(w\leq 0\text{ and }w<z\right)
Solve for w (complex solution)
\left\{\begin{matrix}w=-\frac{9zy^{2}}{1-9y^{2}}\text{, }&z\neq 0\text{ and }y\neq \frac{1}{3}\text{ and }y\neq -\frac{1}{3}\text{ and }\left(arg(y)<\pi \text{ or }y=0\right)\\w\neq 0\text{, }&z=0\text{ and }y=\frac{1}{3}\end{matrix}\right.
Solve for w
\left\{\begin{matrix}w=-\frac{9zy^{2}}{1-9y^{2}}\text{, }&y\neq \frac{1}{3}\text{ and }y\geq 0\text{ and }z\neq 0\\w\neq 0\text{, }&y=\frac{1}{3}\text{ and }z=0\end{matrix}\right.
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3y=\sqrt{\frac{w}{w-z}}
The equation is in standard form.
\frac{3y}{3}=\frac{\sqrt{\frac{w}{w-z}}}{3}
Divide both sides by 3.
y=\frac{\sqrt{\frac{w}{w-z}}}{3}
Dividing by 3 undoes the multiplication by 3.
3y=\sqrt{\frac{w}{w-z}}
The equation is in standard form.
\frac{3y}{3}=\frac{\sqrt{\frac{w}{w-z}}}{3}
Divide both sides by 3.
y=\frac{\sqrt{\frac{w}{w-z}}}{3}
Dividing by 3 undoes the multiplication by 3.
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