Solve A=1/2W(R+S)

$$A = \frac { 1 } { 2 } W ( R + S )$$

Solve for R (complex solution)

$$\left\{\begin{matrix}R=-S+\frac{2A}{W}\text{, }&W\neq 0\\R\in \mathrm{C}\text{, }&A=0\text{ and }W=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{2}W by R+S.

$$A=\frac{1}{2}WR+\frac{1}{2}WS$$

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

$$\frac{1}{2}WR+\frac{1}{2}WS=A$$

Subtract \frac{1}{2}WS from both sides.

$$\frac{1}{2}WR=A-\frac{1}{2}WS$$

The equation is in standard form.

$$\frac{W}{2}R=-\frac{SW}{2}+A$$

Divide both sides by \frac{1}{2}W.

$$\frac{2\times \frac{W}{2}R}{W}=\frac{2\left(-\frac{SW}{2}+A\right)}{W}$$

Dividing by \frac{1}{2}W undoes the multiplication by \frac{1}{2}W.

$$R=\frac{2\left(-\frac{SW}{2}+A\right)}{W}$$

Divide A-\frac{SW}{2} by \frac{1}{2}W.

$$R=-S+\frac{2A}{W}$$

Solve for R

$$\left\{\begin{matrix}R=-S+\frac{2A}{W}\text{, }&W\neq 0\\R\in \mathrm{R}\text{, }&A=0\text{ and }W=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{2}W by R+S.

$$A=\frac{1}{2}WR+\frac{1}{2}WS$$

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

$$\frac{1}{2}WR+\frac{1}{2}WS=A$$

Subtract \frac{1}{2}WS from both sides.

$$\frac{1}{2}WR=A-\frac{1}{2}WS$$

The equation is in standard form.

$$\frac{W}{2}R=-\frac{SW}{2}+A$$

Divide both sides by \frac{1}{2}W.

$$\frac{2\times \frac{W}{2}R}{W}=\frac{2\left(-\frac{SW}{2}+A\right)}{W}$$

Dividing by \frac{1}{2}W undoes the multiplication by \frac{1}{2}W.

$$R=\frac{2\left(-\frac{SW}{2}+A\right)}{W}$$

Divide A-\frac{SW}{2} by \frac{1}{2}W.

$$R=-S+\frac{2A}{W}$$

Solve for A

$$A=\frac{W\left(R+S\right)}{2}$$