Solve deltaR(R-1)=30

$$\delta R ( R - 1 ) = 30$$

Solve for δ

$$\delta =\frac{30}{R\left(R-1\right)}$$

$$R\neq 1\text{ and }R\neq 0$$

Steps for Solving Linear Equation

Use the distributive property to multiply \delta R by R-1.

$$\delta R^{2}-\delta R=30$$

Combine all terms containing \delta .

$$\left(R^{2}-R\right)\delta =30$$

Divide both sides by R^{2}-R.

$$\frac{\left(R^{2}-R\right)\delta }{R^{2}-R}=\frac{30}{R^{2}-R}$$

Dividing by R^{2}-R undoes the multiplication by R^{2}-R.

$$\delta =\frac{30}{R^{2}-R}$$

Divide 30 by R^{2}-R.

$$\delta =\frac{30}{R\left(R-1\right)}$$

Solve for R

$$R=\frac{\sqrt{\delta \left(\delta +120\right)}+\delta }{2\delta }$$

$$R=\frac{-\sqrt{\delta \left(\delta +120\right)}+\delta }{2\delta }\text{, }\delta >0\text{ or }\delta \leq -120$$