Solve for a (complex solution)
\left\{\begin{matrix}a=\frac{2K_{Q}}{t}\text{, }&t\neq 0\\a\in \mathrm{C}\text{, }&K_{Q}=0\text{ and }t=0\end{matrix}\right.
Solve for a
\left\{\begin{matrix}a=\frac{2K_{Q}}{t}\text{, }&t\neq 0\\a\in \mathrm{R}\text{, }&K_{Q}=0\text{ and }t=0\end{matrix}\right.
Solve for K_Q
K_{Q}=\frac{at}{2}
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\frac{1}{2}at=K_{Q}
Swap sides so that all variable terms are on the left hand side.
\frac{t}{2}a=K_{Q}
The equation is in standard form.
\frac{2\times \frac{t}{2}a}{t}=\frac{2K_{Q}}{t}
Divide both sides by \frac{1}{2}t.
a=\frac{2K_{Q}}{t}
Dividing by \frac{1}{2}t undoes the multiplication by \frac{1}{2}t.
\frac{1}{2}at=K_{Q}
Swap sides so that all variable terms are on the left hand side.
\frac{t}{2}a=K_{Q}
The equation is in standard form.
\frac{2\times \frac{t}{2}a}{t}=\frac{2K_{Q}}{t}
Divide both sides by \frac{1}{2}t.
a=\frac{2K_{Q}}{t}
Dividing by \frac{1}{2}t undoes the multiplication by \frac{1}{2}t.
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