Solve y=-f(x+3)

$$y = - f ( x + 3 )$$

Solve for f (complex solution)

$$\left\{\begin{matrix}f=-\frac{y}{x+3}\text{, }&x\neq -3\\f\in \mathrm{C}\text{, }&y=0\text{ and }x=-3\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply -f by x+3.

$$y=\left(-f\right)x+3\left(-f\right)$$

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

$$\left(-f\right)x+3\left(-f\right)=y$$

Multiply 3 and -1 to get -3.

$$-fx-3f=y$$

Combine all terms containing f.

$$\left(-x-3\right)f=y$$

Divide both sides by -x-3.

$$\frac{\left(-x-3\right)f}{-x-3}=\frac{y}{-x-3}$$

Dividing by -x-3 undoes the multiplication by -x-3.

$$f=\frac{y}{-x-3}$$

Divide y by -x-3.

$$f=-\frac{y}{x+3}$$

Solve for x (complex solution)

$$\left\{\begin{matrix}x=-\frac{y}{f}-3\text{, }&f\neq 0\\x\in \mathrm{C}\text{, }&y=0\text{ and }f=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply -f by x+3.

$$y=\left(-f\right)x+3\left(-f\right)$$

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

$$\left(-f\right)x+3\left(-f\right)=y$$

Subtract 3\left(-f\right) from both sides.

$$\left(-f\right)x=y-3\left(-f\right)$$

Multiply -1 and 3 to get -3.

$$-fx=y-3\left(-1\right)f$$

Multiply -3 and -1 to get 3.

$$-fx=y+3f$$

The equation is in standard form.

$$\left(-f\right)x=y+3f$$

Divide both sides by -f.

$$\frac{\left(-f\right)x}{-f}=\frac{y+3f}{-f}$$

Dividing by -f undoes the multiplication by -f.

$$x=\frac{y+3f}{-f}$$

Divide 3f+y by -f.

$$x=-\frac{y}{f}-3$$

Solve for f

$$\left\{\begin{matrix}f=-\frac{y}{x+3}\text{, }&x\neq -3\\f\in \mathrm{R}\text{, }&y=0\text{ and }x=-3\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply -f by x+3.

$$y=\left(-f\right)x+3\left(-f\right)$$

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

$$\left(-f\right)x+3\left(-f\right)=y$$

Multiply 3 and -1 to get -3.

$$-fx-3f=y$$

Combine all terms containing f.

$$\left(-x-3\right)f=y$$

Divide both sides by -x-3.

$$\frac{\left(-x-3\right)f}{-x-3}=\frac{y}{-x-3}$$

Dividing by -x-3 undoes the multiplication by -x-3.

$$f=\frac{y}{-x-3}$$

Divide y by -x-3.

$$f=-\frac{y}{x+3}$$

Solve for x

$$\left\{\begin{matrix}x=-\frac{y}{f}-3\text{, }&f\neq 0\\x\in \mathrm{R}\text{, }&y=0\text{ and }f=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply -f by x+3.

$$y=\left(-f\right)x+3\left(-f\right)$$

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

$$\left(-f\right)x+3\left(-f\right)=y$$

Subtract 3\left(-f\right) from both sides.

$$\left(-f\right)x=y-3\left(-f\right)$$

Multiply -1 and 3 to get -3.

$$-fx=y-3\left(-1\right)f$$

Multiply -3 and -1 to get 3.

$$-fx=y+3f$$

The equation is in standard form.

$$\left(-f\right)x=y+3f$$

Divide both sides by -f.

$$\frac{\left(-f\right)x}{-f}=\frac{y+3f}{-f}$$

Dividing by -f undoes the multiplication by -f.

$$x=\frac{y+3f}{-f}$$

Divide 3f+y by -f.

$$x=-\frac{y}{f}-3$$