Solve -px+gamma=-8x-2

$$- p x + \gamma = - 8 x - 2$$

Solve for p (complex solution)

$$\left\{\begin{matrix}p=\frac{8x+\gamma +2}{x}\text{, }&x\neq 0\\p\in \mathrm{C}\text{, }&x=0\text{ and }\gamma =-2\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract \gamma from both sides.

$$\left(-p\right)x=-8x-2-\gamma$$

Reorder the terms.

$$-px=-8x-\gamma -2$$

The equation is in standard form.

$$\left(-x\right)p=-8x-\gamma -2$$

Divide both sides by -x.

$$\frac{\left(-x\right)p}{-x}=\frac{-8x-\gamma -2}{-x}$$

Dividing by -x undoes the multiplication by -x.

$$p=\frac{-8x-\gamma -2}{-x}$$

Divide -8x-\gamma -2 by -x.

$$p=\frac{\gamma +2}{x}+8$$

Solve for x (complex solution)

$$\left\{\begin{matrix}x=-\frac{\gamma +2}{8-p}\text{, }&p\neq 8\\x\in \mathrm{C}\text{, }&\gamma =-2\text{ and }p=8\end{matrix}\right.$$

Steps for Solving Linear Equation

Add 8x to both sides.

$$\left(-p\right)x+\gamma +8x=-2$$

Subtract \gamma from both sides.

$$\left(-p\right)x+8x=-2-\gamma$$

Reorder the terms.

$$-px+8x=-\gamma -2$$

Combine all terms containing x.

$$\left(-p+8\right)x=-\gamma -2$$

The equation is in standard form.

$$\left(8-p\right)x=-\gamma -2$$

Divide both sides by -p+8.

$$\frac{\left(8-p\right)x}{8-p}=\frac{-\gamma -2}{8-p}$$

Dividing by -p+8 undoes the multiplication by -p+8.

$$x=\frac{-\gamma -2}{8-p}$$

Divide -\gamma -2 by -p+8.

$$x=-\frac{\gamma +2}{8-p}$$

Solve for p

$$\left\{\begin{matrix}p=\frac{8x+\gamma +2}{x}\text{, }&x\neq 0\\p\in \mathrm{R}\text{, }&x=0\text{ and }\gamma =-2\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract \gamma from both sides.

$$\left(-p\right)x=-8x-2-\gamma$$

Reorder the terms.

$$-px=-8x-\gamma -2$$

The equation is in standard form.

$$\left(-x\right)p=-8x-\gamma -2$$

Divide both sides by -x.

$$\frac{\left(-x\right)p}{-x}=\frac{-8x-\gamma -2}{-x}$$

Dividing by -x undoes the multiplication by -x.

$$p=\frac{-8x-\gamma -2}{-x}$$

Divide -8x-\gamma -2 by -x.

$$p=\frac{\gamma +2}{x}+8$$

Solve for x

$$\left\{\begin{matrix}x=-\frac{\gamma +2}{8-p}\text{, }&p\neq 8\\x\in \mathrm{R}\text{, }&\gamma =-2\text{ and }p=8\end{matrix}\right.$$

Steps for Solving Linear Equation

Add 8x to both sides.

$$\left(-p\right)x+\gamma +8x=-2$$

Subtract \gamma from both sides.

$$\left(-p\right)x+8x=-2-\gamma$$

Reorder the terms.

$$-px+8x=-\gamma -2$$

Combine all terms containing x.

$$\left(-p+8\right)x=-\gamma -2$$

The equation is in standard form.

$$\left(8-p\right)x=-\gamma -2$$

Divide both sides by -p+8.

$$\frac{\left(8-p\right)x}{8-p}=\frac{-\gamma -2}{8-p}$$

Dividing by -p+8 undoes the multiplication by -p+8.

$$x=\frac{-\gamma -2}{8-p}$$

Divide -\gamma -2 by -p+8.

$$x=-\frac{\gamma +2}{8-p}$$