Solve for a (complex solution)
\left\{\begin{matrix}a=-\frac{u-S}{t}\text{, }&t\neq 0\\a\in \mathrm{C}\text{, }&S=u\text{ and }t=0\end{matrix}\right.
Solve for a
\left\{\begin{matrix}a=-\frac{u-S}{t}\text{, }&t\neq 0\\a\in \mathrm{R}\text{, }&S=u\text{ and }t=0\end{matrix}\right.
Solve for S
S=at+u
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u+at=S
Swap sides so that all variable terms are on the left hand side.
at=S-u
Subtract u from both sides.
ta=S-u
The equation is in standard form.
\frac{ta}{t}=\frac{S-u}{t}
Divide both sides by t.
a=\frac{S-u}{t}
Dividing by t undoes the multiplication by t.
u+at=S
Swap sides so that all variable terms are on the left hand side.
at=S-u
Subtract u from both sides.
ta=S-u
The equation is in standard form.
\frac{ta}{t}=\frac{S-u}{t}
Divide both sides by t.
a=\frac{S-u}{t}
Dividing by t undoes the multiplication by t.
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