Solve for m
\left\{\begin{matrix}m=\frac{4t^{2}}{3}-\frac{x}{6t}\text{, }&t\neq 0\\m\in \mathrm{R}\text{, }&x=0\text{ and }t=0\end{matrix}\right.
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8t^{3}-6tm=x
Swap sides so that all variable terms are on the left hand side.
-6tm=x-8t^{3}
Subtract 8t^{3} from both sides.
\left(-6t\right)m=x-8t^{3}
The equation is in standard form.
\frac{\left(-6t\right)m}{-6t}=\frac{x-8t^{3}}{-6t}
Divide both sides by -6t.
m=\frac{x-8t^{3}}{-6t}
Dividing by -6t undoes the multiplication by -6t.
m=-\frac{x-8t^{3}}{6t}
Divide x-8t^{3} by -6t.
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