Solve v=u+a^2t

$$v = u + a ^ { 2 } t$$

Solve for t (complex solution)

$$\left\{\begin{matrix}t=-\frac{u-v}{a^{2}}\text{, }&a\neq 0\\t\in \mathrm{C}\text{, }&v=u\text{ and }a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$u+a^{2}t=v$$

Subtract u from both sides.

$$a^{2}t=v-u$$

Divide both sides by a^{2}.

$$\frac{a^{2}t}{a^{2}}=\frac{v-u}{a^{2}}$$

Dividing by a^{2} undoes the multiplication by a^{2}.

$$t=\frac{v-u}{a^{2}}$$

Solve for t

$$\left\{\begin{matrix}t=-\frac{u-v}{a^{2}}\text{, }&a\neq 0\\t\in \mathrm{R}\text{, }&v=u\text{ and }a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$u+a^{2}t=v$$

Subtract u from both sides.

$$a^{2}t=v-u$$

Divide both sides by a^{2}.

$$\frac{a^{2}t}{a^{2}}=\frac{v-u}{a^{2}}$$

Dividing by a^{2} undoes the multiplication by a^{2}.

$$t=\frac{v-u}{a^{2}}$$

Solve for a (complex solution)

$$\left\{\begin{matrix}a=-it^{-\frac{1}{2}}\sqrt{u-v}\text{; }a=it^{-\frac{1}{2}}\sqrt{u-v}\text{, }&t\neq 0\\a\in \mathrm{C}\text{, }&v=u\text{ and }t=0\end{matrix}\right.$$

Solve for a

$$\left\{\begin{matrix}a=\sqrt{-\frac{u-v}{t}}\text{; }a=-\sqrt{-\frac{u-v}{t}}\text{, }&\left(t>0\text{ or }v\leq u\right)\text{ and }\left(t<0\text{ or }v\geq u\right)\text{ and }t\neq 0\\a\in \mathrm{R}\text{, }&v=u\text{ and }t=0\end{matrix}\right.$$