Solve (0+td-a)*n=0

$$( 0 + t d - a ) \cdot n = 0$$

Solve for a (complex solution)

$$\left\{\begin{matrix}\\a=dt\text{, }&\text{unconditionally}\\a\in \mathrm{C}\text{, }&n=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Anything plus zero gives itself.

$$\left(td-a\right)n=0$$

Use the distributive property to multiply td-a by n.

$$tdn-an=0$$

Subtract tdn from both sides. Anything subtracted from zero gives its negation.

$$-an=-tdn$$

Cancel out -1 on both sides.

$$an=tdn$$

The equation is in standard form.

$$na=dnt$$

Divide both sides by n.

$$\frac{na}{n}=\frac{dnt}{n}$$

Dividing by n undoes the multiplication by n.

$$a=\frac{dnt}{n}$$

Divide tdn by n.

$$a=dt$$

Solve for d (complex solution)

$$\left\{\begin{matrix}d=\frac{a}{t}\text{, }&t\neq 0\\d\in \mathrm{C}\text{, }&n=0\text{ or }\left(a=0\text{ and }t=0\right)\end{matrix}\right.$$

Steps for Solving Linear Equation

Anything plus zero gives itself.

$$\left(td-a\right)n=0$$

Use the distributive property to multiply td-a by n.

$$tdn-an=0$$

Add an to both sides. Anything plus zero gives itself.

$$tdn=an$$

The equation is in standard form.

$$ntd=an$$

Divide both sides by tn.

$$\frac{ntd}{nt}=\frac{an}{nt}$$

Dividing by tn undoes the multiplication by tn.

$$d=\frac{an}{nt}$$

Divide an by tn.

$$d=\frac{a}{t}$$

Solve for a

$$\left\{\begin{matrix}\\a=dt\text{, }&\text{unconditionally}\\a\in \mathrm{R}\text{, }&n=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Anything plus zero gives itself.

$$\left(td-a\right)n=0$$

Use the distributive property to multiply td-a by n.

$$tdn-an=0$$

Subtract tdn from both sides. Anything subtracted from zero gives its negation.

$$-an=-tdn$$

Cancel out -1 on both sides.

$$an=tdn$$

The equation is in standard form.

$$na=dnt$$

Divide both sides by n.

$$\frac{na}{n}=\frac{dnt}{n}$$

Dividing by n undoes the multiplication by n.

$$a=\frac{dnt}{n}$$

Divide tdn by n.

$$a=dt$$

Solve for d

$$\left\{\begin{matrix}d=\frac{a}{t}\text{, }&t\neq 0\\d\in \mathrm{R}\text{, }&n=0\text{ or }\left(a=0\text{ and }t=0\right)\end{matrix}\right.$$

Steps for Solving Linear Equation

Anything plus zero gives itself.

$$\left(td-a\right)n=0$$

Use the distributive property to multiply td-a by n.

$$tdn-an=0$$

Add an to both sides. Anything plus zero gives itself.

$$tdn=an$$

The equation is in standard form.

$$ntd=an$$

Divide both sides by tn.

$$\frac{ntd}{nt}=\frac{an}{nt}$$

Dividing by tn undoes the multiplication by tn.

$$d=\frac{an}{nt}$$

Divide an by tn.

$$d=\frac{a}{t}$$