Solve -6wx+3sz=144x+480

$$- 6 w x + 3 s z = 144 x + 480$$

Solve for s (complex solution)

$$\left\{\begin{matrix}s=\frac{2\left(wx+24x+80\right)}{z}\text{, }&z\neq 0\\s\in \mathrm{C}\text{, }&w=-24-\frac{80}{x}\text{ and }x\neq 0\text{ and }z=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Add 6wx to both sides.

$$3sz=144x+480+6wx$$

The equation is in standard form.

$$3zs=6wx+144x+480$$

Divide both sides by 3z.

$$\frac{3zs}{3z}=\frac{6wx+144x+480}{3z}$$

Dividing by 3z undoes the multiplication by 3z.

$$s=\frac{6wx+144x+480}{3z}$$

Divide 144x+480+6wx by 3z.

$$s=\frac{2\left(wx+24x+80\right)}{z}$$

Solve for w (complex solution)

$$\left\{\begin{matrix}w=\frac{-48x+sz-160}{2x}\text{, }&x\neq 0\\w\in \mathrm{C}\text{, }&x=0\text{ and }s=\frac{160}{z}\text{ and }z\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 3sz from both sides.

$$-6wx=144x+480-3sz$$

The equation is in standard form.

$$\left(-6x\right)w=144x-3sz+480$$

Divide both sides by -6x.

$$\frac{\left(-6x\right)w}{-6x}=\frac{144x-3sz+480}{-6x}$$

Dividing by -6x undoes the multiplication by -6x.

$$w=\frac{144x-3sz+480}{-6x}$$

Divide 144x+480-3sz by -6x.

$$w=\frac{\frac{sz}{2}-80}{x}-24$$

Solve for s

$$\left\{\begin{matrix}s=\frac{2\left(wx+24x+80\right)}{z}\text{, }&z\neq 0\\s\in \mathrm{R}\text{, }&w=-24-\frac{80}{x}\text{ and }x\neq 0\text{ and }z=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Add 6wx to both sides.

$$3sz=144x+480+6wx$$

The equation is in standard form.

$$3zs=6wx+144x+480$$

Divide both sides by 3z.

$$\frac{3zs}{3z}=\frac{6wx+144x+480}{3z}$$

Dividing by 3z undoes the multiplication by 3z.

$$s=\frac{6wx+144x+480}{3z}$$

Divide 144x+480+6wx by 3z.

$$s=\frac{2\left(wx+24x+80\right)}{z}$$

Solve for w

$$\left\{\begin{matrix}w=\frac{-48x+sz-160}{2x}\text{, }&x\neq 0\\w\in \mathrm{R}\text{, }&x=0\text{ and }s=\frac{160}{z}\text{ and }z\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 3sz from both sides.

$$-6wx=144x+480-3sz$$

The equation is in standard form.

$$\left(-6x\right)w=144x-3sz+480$$

Divide both sides by -6x.

$$\frac{\left(-6x\right)w}{-6x}=\frac{144x-3sz+480}{-6x}$$

Dividing by -6x undoes the multiplication by -6x.

$$w=\frac{144x-3sz+480}{-6x}$$

Divide 144x+480-3sz by -6x.

$$w=\frac{\frac{sz}{2}-80}{x}-24$$