Subtract \(2{a}^{2}\) from both sides.
\[3dotx+k=-2{a}^{2}\]
Subtract \(k\) from both sides.
\[3dotx=-2{a}^{2}-k\]
Divide both sides by \(3\).
\[dotx=\frac{-2{a}^{2}-k}{3}\]
Divide both sides by \(d\).
\[otx=\frac{\frac{-2{a}^{2}-k}{3}}{d}\]
Simplify \(\frac{\frac{-2{a}^{2}-k}{3}}{d}\) to \(\frac{-2{a}^{2}-k}{3d}\).
\[otx=\frac{-2{a}^{2}-k}{3d}\]
Divide both sides by \(o\).
\[tx=\frac{\frac{-2{a}^{2}-k}{3d}}{o}\]
Simplify \(\frac{\frac{-2{a}^{2}-k}{3d}}{o}\) to \(\frac{-2{a}^{2}-k}{3do}\).
\[tx=\frac{-2{a}^{2}-k}{3do}\]
Divide both sides by \(t\).
\[x=\frac{\frac{-2{a}^{2}-k}{3do}}{t}\]
Simplify \(\frac{\frac{-2{a}^{2}-k}{3do}}{t}\) to \(\frac{-2{a}^{2}-k}{3dot}\).
\[x=\frac{-2{a}^{2}-k}{3dot}\]
x=(-2*a^2-k)/(3*d*o*t)