Solve VA=P(1+(n)

$$V A = P ( 1 + ( n )$$

Solve for A

$$\left\{\begin{matrix}A=\frac{P\left(n+1\right)}{V}\text{, }&V\neq 0\\A\in \mathrm{R}\text{, }&\left(P=0\text{ or }n=-1\right)\text{ and }V=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply P by 1+n.

$$VA=P+Pn$$

The equation is in standard form.

$$VA=Pn+P$$

Divide both sides by V.

$$\frac{VA}{V}=\frac{Pn+P}{V}$$

Dividing by V undoes the multiplication by V.

$$A=\frac{Pn+P}{V}$$

Divide P+Pn by V.

$$A=\frac{P\left(n+1\right)}{V}$$

Solve for P

$$\left\{\begin{matrix}P=\frac{AV}{n+1}\text{, }&n\neq -1\\P\in \mathrm{R}\text{, }&\left(V=0\text{ or }A=0\right)\text{ and }n=-1\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply P by 1+n.

$$VA=P+Pn$$

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

$$P+Pn=VA$$

Combine all terms containing P.

$$\left(1+n\right)P=VA$$

The equation is in standard form.

$$\left(n+1\right)P=AV$$

Divide both sides by 1+n.

$$\frac{\left(n+1\right)P}{n+1}=\frac{AV}{n+1}$$

Dividing by 1+n undoes the multiplication by 1+n.

$$P=\frac{AV}{n+1}$$