Solve for E (complex solution)
\left\{\begin{matrix}\\E=Tcm\text{, }&\text{unconditionally}\\E\in \mathrm{C}\text{, }&\Delta =0\end{matrix}\right.
Solve for T (complex solution)
\left\{\begin{matrix}T=\frac{E}{cm}\text{, }&m\neq 0\text{ and }c\neq 0\\T\in \mathrm{C}\text{, }&\Delta =0\text{ or }\left(E=0\text{ and }m=0\right)\text{ or }\left(E=0\text{ and }c=0\text{ and }m\neq 0\right)\end{matrix}\right.
Solve for E
\left\{\begin{matrix}\\E=Tcm\text{, }&\text{unconditionally}\\E\in \mathrm{R}\text{, }&\Delta =0\end{matrix}\right.
Solve for T
\left\{\begin{matrix}T=\frac{E}{cm}\text{, }&m\neq 0\text{ and }c\neq 0\\T\in \mathrm{R}\text{, }&\Delta =0\text{ or }\left(E=0\text{ and }m=0\right)\text{ or }\left(E=0\text{ and }c=0\text{ and }m\neq 0\right)\end{matrix}\right.
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\Delta E=Tcm\Delta
The equation is in standard form.
\frac{\Delta E}{\Delta }=\frac{Tcm\Delta }{\Delta }
Divide both sides by \Delta .
E=\frac{Tcm\Delta }{\Delta }
Dividing by \Delta undoes the multiplication by \Delta .
E=Tcm
Divide cm\Delta T by \Delta .
cm\Delta T=\Delta E
Swap sides so that all variable terms are on the left hand side.
cm\Delta T=E\Delta
The equation is in standard form.
\frac{cm\Delta T}{cm\Delta }=\frac{E\Delta }{cm\Delta }
Divide both sides by cm\Delta .
T=\frac{E\Delta }{cm\Delta }
Dividing by cm\Delta undoes the multiplication by cm\Delta .
T=\frac{E}{cm}
Divide \Delta E by cm\Delta .
\Delta E=Tcm\Delta
The equation is in standard form.
\frac{\Delta E}{\Delta }=\frac{Tcm\Delta }{\Delta }
Divide both sides by \Delta .
E=\frac{Tcm\Delta }{\Delta }
Dividing by \Delta undoes the multiplication by \Delta .
E=Tcm
Divide cm\Delta T by \Delta .
cm\Delta T=\Delta E
Swap sides so that all variable terms are on the left hand side.
cm\Delta T=E\Delta
The equation is in standard form.
\frac{cm\Delta T}{cm\Delta }=\frac{E\Delta }{cm\Delta }
Divide both sides by cm\Delta .
T=\frac{E\Delta }{cm\Delta }
Dividing by cm\Delta undoes the multiplication by cm\Delta .
T=\frac{E}{cm}
Divide \Delta E by cm\Delta .
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