Solve for T (complex solution)
\left\{\begin{matrix}T=-\frac{2x}{y^{2}}\text{, }&y\neq 0\\T\in \mathrm{C}\text{, }&x=0\text{ and }y=0\end{matrix}\right.
Solve for T
\left\{\begin{matrix}T=-\frac{2x}{y^{2}}\text{, }&y\neq 0\\T\in \mathrm{R}\text{, }&x=0\text{ and }y=0\end{matrix}\right.
Solve for x
x=-\frac{Ty^{2}}{2}
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-\frac{1}{2}y^{2}T=x
Swap sides so that all variable terms are on the left hand side.
\left(-\frac{y^{2}}{2}\right)T=x
The equation is in standard form.
\frac{\left(-\frac{y^{2}}{2}\right)T}{-\frac{y^{2}}{2}}=\frac{x}{-\frac{y^{2}}{2}}
Divide both sides by -\frac{1}{2}y^{2}.
T=\frac{x}{-\frac{y^{2}}{2}}
Dividing by -\frac{1}{2}y^{2} undoes the multiplication by -\frac{1}{2}y^{2}.
T=-\frac{2x}{y^{2}}
Divide x by -\frac{1}{2}y^{2}.
-\frac{1}{2}y^{2}T=x
Swap sides so that all variable terms are on the left hand side.
\left(-\frac{y^{2}}{2}\right)T=x
The equation is in standard form.
\frac{\left(-\frac{y^{2}}{2}\right)T}{-\frac{y^{2}}{2}}=\frac{x}{-\frac{y^{2}}{2}}
Divide both sides by -\frac{1}{2}y^{2}.
T=\frac{x}{-\frac{y^{2}}{2}}
Dividing by -\frac{1}{2}y^{2} undoes the multiplication by -\frac{1}{2}y^{2}.
T=-\frac{2x}{y^{2}}
Divide x by -\frac{1}{2}y^{2}.
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