Solve x=(x+1)1/na

$$x = ( x + 1 ) \frac { 1 } { n } a$$

Solve for a

$$a=\frac{nx}{x+1}$$

$$x\neq -1\text{ and }n\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by n.

$$xn=\left(x+1\right)\times 1a$$

Use the distributive property to multiply x+1 by 1.

$$xn=\left(x+1\right)a$$

Use the distributive property to multiply x+1 by a.

$$xn=xa+a$$

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

$$xa+a=xn$$

Combine all terms containing a.

$$\left(x+1\right)a=xn$$

The equation is in standard form.

$$\left(x+1\right)a=nx$$

Divide both sides by x+1.

$$\frac{\left(x+1\right)a}{x+1}=\frac{nx}{x+1}$$

Dividing by x+1 undoes the multiplication by x+1.

$$a=\frac{nx}{x+1}$$

Solve for n

$$\left\{\begin{matrix}n=a+\frac{a}{x}\text{, }&x\neq -1\text{ and }a\neq 0\text{ and }x\neq 0\\n\neq 0\text{, }&x=0\text{ and }a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$xn=\left(x+1\right)\times 1a$$

Use the distributive property to multiply x+1 by 1.

$$xn=\left(x+1\right)a$$

Use the distributive property to multiply x+1 by a.

$$xn=xa+a$$

The equation is in standard form.

$$xn=ax+a$$

Divide both sides by x.

$$\frac{xn}{x}=\frac{ax+a}{x}$$

Dividing by x undoes the multiplication by x.

$$n=\frac{ax+a}{x}$$

Divide ax+a by x.

$$n=a+\frac{a}{x}$$

Variable n cannot be equal to 0.

$$n=a+\frac{a}{x}\text{, }n\neq 0$$