Solve Z=y(2-y)/x

$$Z = \frac { y ( 2 - y ) } { x }$$

Solve for x

$$\left\{\begin{matrix}x=-\frac{y\left(y-2\right)}{Z}\text{, }&y\neq 2\text{ and }y\neq 0\text{ and }Z\neq 0\\x\neq 0\text{, }&\left(y=0\text{ or }y=2\right)\text{ and }Z=0\end{matrix}\right.$$

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.

$$Zx=y\left(2-y\right)$$

Use the distributive property to multiply y by 2-y.

$$Zx=2y-y^{2}$$

Divide both sides by Z.

$$\frac{Zx}{Z}=\frac{y\left(2-y\right)}{Z}$$

Dividing by Z undoes the multiplication by Z.

$$x=\frac{y\left(2-y\right)}{Z}$$

Variable x cannot be equal to 0.

$$x=\frac{y\left(2-y\right)}{Z}\text{, }x\neq 0$$

Solve for Z

$$Z=-\frac{y\left(y-2\right)}{x}$$

$$x\neq 0$$