Solve for O
\left\{\begin{matrix}O=-\frac{-8t^{3}+5t^{2}-10t-20}{tx}\text{, }&x\neq 0\text{ and }t\neq 0\\O\in \mathrm{R}\text{, }&t=-\frac{1}{24}\sqrt[3]{13824\times \frac{5\sqrt{2849}}{192}+18955}+\frac{\sqrt[3]{360\sqrt{2849}-18955}}{24}+\frac{5}{24}\text{ and }x=0\end{matrix}\right.
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txO=8t^{3}-5t^{2}+10t+20
The equation is in standard form.
\frac{txO}{tx}=\frac{8t^{3}-5t^{2}+10t+20}{tx}
Divide both sides by xt.
O=\frac{8t^{3}-5t^{2}+10t+20}{tx}
Dividing by xt undoes the multiplication by xt.
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