Solve (x_{0})=1+2/x

$$( x _ { 0 } ) = 1 + \frac { 2 } { x }$$

Solve for x

$$x=-\frac{2}{1-x_{0}}$$

$$x_{0}\neq 1$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$x_{0}x=x+2$$

Subtract x from both sides.

$$x_{0}x-x=2$$

Combine all terms containing x.

$$\left(x_{0}-1\right)x=2$$

Divide both sides by x_{0}-1.

$$\frac{\left(x_{0}-1\right)x}{x_{0}-1}=\frac{2}{x_{0}-1}$$

Dividing by x_{0}-1 undoes the multiplication by x_{0}-1.

$$x=\frac{2}{x_{0}-1}$$

Variable x cannot be equal to 0.

$$x=\frac{2}{x_{0}-1}\text{, }x\neq 0$$

Solve for x_0

$$x_{0}=\frac{x+2}{x}$$

$$x\neq 0$$