Solve R(x)=xP=X(80-0.1)

$$R ( x ) = x P = X ( 80 - 0.1 )$$

Solve for P (complex solution)

$$\left\{\begin{matrix}P=\frac{799X}{10x}\text{, }&x\neq 0\\P\in \mathrm{C}\text{, }&X=0\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 0.1 from 80 to get 79.9.

$$xP=X\times 79.9$$

The equation is in standard form.

$$xP=\frac{799X}{10}$$

Divide both sides by x.

$$\frac{xP}{x}=\frac{799X}{10x}$$

Dividing by x undoes the multiplication by x.

$$P=\frac{799X}{10x}$$

Solve for P

$$\left\{\begin{matrix}P=\frac{799X}{10x}\text{, }&x\neq 0\\P\in \mathrm{R}\text{, }&X=0\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 0.1 from 80 to get 79.9.

$$xP=X\times 79.9$$

The equation is in standard form.

$$xP=\frac{799X}{10}$$

Divide both sides by x.

$$\frac{xP}{x}=\frac{799X}{10x}$$

Dividing by x undoes the multiplication by x.

$$P=\frac{799X}{10x}$$

Solve for X

$$X=\frac{10Px}{799}$$

Steps for Solving Linear Equation

Subtract 0.1 from 80 to get 79.9.

$$xP=X\times 79.9$$

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

$$X\times 79.9=xP$$

The equation is in standard form.

$$79.9X=Px$$

Divide both sides of the equation by 79.9, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{79.9X}{79.9}=\frac{Px}{79.9}$$

Dividing by 79.9 undoes the multiplication by 79.9.

$$X=\frac{Px}{79.9}$$

Divide xP by 79.9 by multiplying xP by the reciprocal of 79.9.

$$X=\frac{10Px}{799}$$