Solve SA=2pir^2+2pirh

$$S A = 2 \pi r ^ { 2 } + 2 \pi r h$$

Solve for A (complex solution)

$$\left\{\begin{matrix}A=\frac{2\pi r\left(r+h\right)}{S}\text{, }&S\neq 0\\A\in \mathrm{C}\text{, }&\left(r=0\text{ or }r=-h\right)\text{ and }S=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$SA=2\pi r^{2}+2\pi hr$$

Divide both sides by S.

$$\frac{SA}{S}=\frac{2\pi r\left(r+h\right)}{S}$$

Dividing by S undoes the multiplication by S.

$$A=\frac{2\pi r\left(r+h\right)}{S}$$

Solve for S (complex solution)

$$\left\{\begin{matrix}S=\frac{2\pi r\left(r+h\right)}{A}\text{, }&A\neq 0\\S\in \mathrm{C}\text{, }&\left(r=0\text{ or }r=-h\right)\text{ and }A=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$AS=2\pi r^{2}+2\pi hr$$

Divide both sides by A.

$$\frac{AS}{A}=\frac{2\pi r\left(r+h\right)}{A}$$

Dividing by A undoes the multiplication by A.

$$S=\frac{2\pi r\left(r+h\right)}{A}$$

Solve for A

$$\left\{\begin{matrix}A=\frac{2\pi r\left(r+h\right)}{S}\text{, }&S\neq 0\\A\in \mathrm{R}\text{, }&\left(r=0\text{ or }r=-h\right)\text{ and }S=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$SA=2\pi r^{2}+2\pi hr$$

Divide both sides by S.

$$\frac{SA}{S}=\frac{2\pi r\left(r+h\right)}{S}$$

Dividing by S undoes the multiplication by S.

$$A=\frac{2\pi r\left(r+h\right)}{S}$$

Solve for S

$$\left\{\begin{matrix}S=\frac{2\pi r\left(r+h\right)}{A}\text{, }&A\neq 0\\S\in \mathrm{R}\text{, }&\left(r=0\text{ or }r=-h\right)\text{ and }A=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$AS=2\pi r^{2}+2\pi hr$$

Divide both sides by A.

$$\frac{AS}{A}=\frac{2\pi r\left(r+h\right)}{A}$$

Dividing by A undoes the multiplication by A.

$$S=\frac{2\pi r\left(r+h\right)}{A}$$