Solve A=12pift^2

$$A = 12 \pi ft ^ { 2 }$$

Solve for f (complex solution)

$$\left\{\begin{matrix}f=\frac{A}{12\pi t^{2}}\text{, }&t\neq 0\\f\in \mathrm{C}\text{, }&A=0\text{ and }t=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$12\pi ft^{2}=A$$

The equation is in standard form.

$$12\pi t^{2}f=A$$

Divide both sides by 12\pi t^{2}.

$$\frac{12\pi t^{2}f}{12\pi t^{2}}=\frac{A}{12\pi t^{2}}$$

Dividing by 12\pi t^{2} undoes the multiplication by 12\pi t^{2}.

$$f=\frac{A}{12\pi t^{2}}$$

Solve for f

$$\left\{\begin{matrix}f=\frac{A}{12\pi t^{2}}\text{, }&t\neq 0\\f\in \mathrm{R}\text{, }&A=0\text{ and }t=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$12\pi ft^{2}=A$$

The equation is in standard form.

$$12\pi t^{2}f=A$$

Divide both sides by 12\pi t^{2}.

$$\frac{12\pi t^{2}f}{12\pi t^{2}}=\frac{A}{12\pi t^{2}}$$

Dividing by 12\pi t^{2} undoes the multiplication by 12\pi t^{2}.

$$f=\frac{A}{12\pi t^{2}}$$

Solve for A

$$A=12\pi ft^{2}$$