Solve N=360/alpha-1

$$N = \frac { 360 } { \alpha } - 1$$

Solve for α

$$\alpha =\frac{360}{N+1}$$

$$N\neq -1$$

Steps for Solving Linear Equation

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

$$N\alpha =360+\alpha \left(-1\right)$$

Subtract \alpha \left(-1\right) from both sides.

$$N\alpha -\alpha \left(-1\right)=360$$

Multiply -1 and -1 to get 1.

$$N\alpha +\alpha =360$$

Combine all terms containing \alpha .

$$\left(N+1\right)\alpha =360$$

Divide both sides by N+1.

$$\frac{\left(N+1\right)\alpha }{N+1}=\frac{360}{N+1}$$

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

$$\alpha =\frac{360}{N+1}$$

Variable \alpha cannot be equal to 0.

$$\alpha =\frac{360}{N+1}\text{, }\alpha \neq 0$$

Solve for N

$$N=-1+\frac{360}{\alpha }$$

$$\alpha \neq 0$$