Solve 0L-z(x-z)=9

$$0 L - z ( x - z ) = 9$$

Solve for x

$$x=z-\frac{9}{z}$$

$$z\neq 0$$

Steps for Solving Linear Equation

Anything times zero gives zero.

$$0-z\left(x-z\right)=9$$

Use the distributive property to multiply z by x-z.

$$0-\left(zx-z^{2}\right)=9$$

To find the opposite of zx-z^{2}, find the opposite of each term.

$$0-zx+z^{2}=9$$

Anything plus zero gives itself.

$$-zx+z^{2}=9$$

Subtract z^{2} from both sides.

$$-zx=9-z^{2}$$

The equation is in standard form.

$$\left(-z\right)x=9-z^{2}$$

Divide both sides by -z.

$$\frac{\left(-z\right)x}{-z}=\frac{9-z^{2}}{-z}$$

Dividing by -z undoes the multiplication by -z.

$$x=\frac{9-z^{2}}{-z}$$

Divide -z^{2}+9 by -z.

$$x=z-\frac{9}{z}$$

Solve for L

$$L\in \mathrm{R}$$

$$x=z-\frac{9}{z}\text{ and }z\neq 0$$