Solve u(1s-w)(w+2)=576

$$u ( 1 s - w ) ( w + 2 ) = 576$$

Solve for s

$$s=\frac{uw^{2}+2uw+576}{u\left(w+2\right)}$$

$$w\neq -2\text{ and }u\neq 0$$

Steps for Solving Linear Equation

Use the distributive property to multiply u by 1s-w.

$$\left(1us-uw\right)\left(w+2\right)=576$$

Use the distributive property to multiply 1us-uw by w+2.

$$1usw+2us-uw^{2}-2uw=576$$

Add uw^{2} to both sides.

$$1usw+2us-2uw=576+uw^{2}$$

Add 2uw to both sides.

$$1usw+2us=576+uw^{2}+2uw$$

Reorder the terms.

$$suw+2su=uw^{2}+2uw+576$$

Combine all terms containing s.

$$\left(uw+2u\right)s=uw^{2}+2uw+576$$

Divide both sides by uw+2u.

$$\frac{\left(uw+2u\right)s}{uw+2u}=\frac{uw^{2}+2uw+576}{uw+2u}$$

Dividing by uw+2u undoes the multiplication by uw+2u.

$$s=\frac{uw^{2}+2uw+576}{uw+2u}$$

Divide uw^{2}+2uw+576 by uw+2u.

$$s=\frac{uw^{2}+2uw+576}{u\left(w+2\right)}$$

Solve for u

$$u=-\frac{576}{\left(w+2\right)\left(w-s\right)}$$

$$w\neq -2\text{ and }s\neq w$$

Steps for Solving Linear Equation

Use the distributive property to multiply u by 1s-w.

$$\left(1us-uw\right)\left(w+2\right)=576$$

Use the distributive property to multiply 1us-uw by w+2.

$$1usw+2us-uw^{2}-2uw=576$$

Reorder the terms.

$$suw+2su-uw^{2}-2uw=576$$

Combine all terms containing u.

$$\left(sw+2s-w^{2}-2w\right)u=576$$

Divide both sides by ws-w^{2}+2s-2w.

$$\frac{\left(sw+2s-w^{2}-2w\right)u}{sw+2s-w^{2}-2w}=\frac{576}{sw+2s-w^{2}-2w}$$

Dividing by ws-w^{2}+2s-2w undoes the multiplication by ws-w^{2}+2s-2w.

$$u=\frac{576}{sw+2s-w^{2}-2w}$$

Divide 576 by ws-w^{2}+2s-2w.

$$u=-\frac{576}{\left(w+2\right)\left(w-s\right)}$$