Solve y=h(x+2)

$$y = h ( x + 2 )$$

Solve for h (complex solution)

$$\left\{\begin{matrix}h=\frac{y}{x+2}\text{, }&x\neq -2\\h\in \mathrm{C}\text{, }&y=0\text{ and }x=-2\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply h by x+2.

$$y=hx+2h$$

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

$$hx+2h=y$$

Combine all terms containing h.

$$\left(x+2\right)h=y$$

Divide both sides by x+2.

$$\frac{\left(x+2\right)h}{x+2}=\frac{y}{x+2}$$

Dividing by x+2 undoes the multiplication by x+2.

$$h=\frac{y}{x+2}$$

Solve for x (complex solution)

$$\left\{\begin{matrix}x=\frac{y}{h}-2\text{, }&h\neq 0\\x\in \mathrm{C}\text{, }&y=0\text{ and }h=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply h by x+2.

$$y=hx+2h$$

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

$$hx+2h=y$$

Subtract 2h from both sides.

$$hx=y-2h$$

Divide both sides by h.

$$\frac{hx}{h}=\frac{y-2h}{h}$$

Dividing by h undoes the multiplication by h.

$$x=\frac{y-2h}{h}$$

Divide y-2h by h.

$$x=\frac{y}{h}-2$$

Solve for h

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

Steps for Solving Linear Equation

Use the distributive property to multiply h by x+2.

$$y=hx+2h$$

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

$$hx+2h=y$$

Combine all terms containing h.

$$\left(x+2\right)h=y$$

Divide both sides by x+2.

$$\frac{\left(x+2\right)h}{x+2}=\frac{y}{x+2}$$

Dividing by x+2 undoes the multiplication by x+2.

$$h=\frac{y}{x+2}$$

Solve for x

$$\left\{\begin{matrix}x=\frac{y}{h}-2\text{, }&h\neq 0\\x\in \mathrm{R}\text{, }&y=0\text{ and }h=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply h by x+2.

$$y=hx+2h$$

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

$$hx+2h=y$$

Subtract 2h from both sides.

$$hx=y-2h$$

Divide both sides by h.

$$\frac{hx}{h}=\frac{y-2h}{h}$$

Dividing by h undoes the multiplication by h.

$$x=\frac{y-2h}{h}$$

Divide y-2h by h.

$$x=\frac{y}{h}-2$$