Solve dx=quadd(ax)

$$d x = \quad d ( a x )$$

Solve for a (complex solution)

$$\left\{\begin{matrix}\\a=1\text{, }&\text{unconditionally}\\a\in \mathrm{C}\text{, }&x=0\text{ or }d=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$dax=dx$$

The equation is in standard form.

$$dxa=dx$$

Divide both sides by dx.

$$\frac{dxa}{dx}=\frac{dx}{dx}$$

Dividing by dx undoes the multiplication by dx.

$$a=\frac{dx}{dx}$$

Divide dx by dx.

$$a=1$$

Solve for d (complex solution)

$$\left\{\begin{matrix}\\d=0\text{, }&\text{unconditionally}\\d\in \mathrm{C}\text{, }&a=1\text{ or }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract dax from both sides.

$$dx-dax=0$$

Reorder the terms.

$$-adx+dx=0$$

Combine all terms containing d.

$$\left(-ax+x\right)d=0$$

The equation is in standard form.

$$\left(x-ax\right)d=0$$

Divide 0 by -ax+x.

$$d=0$$

Solve for a

$$\left\{\begin{matrix}\\a=1\text{, }&\text{unconditionally}\\a\in \mathrm{R}\text{, }&x=0\text{ or }d=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$dax=dx$$

The equation is in standard form.

$$dxa=dx$$

Divide both sides by dx.

$$\frac{dxa}{dx}=\frac{dx}{dx}$$

Dividing by dx undoes the multiplication by dx.

$$a=\frac{dx}{dx}$$

Divide dx by dx.

$$a=1$$

Solve for d

$$\left\{\begin{matrix}\\d=0\text{, }&\text{unconditionally}\\d\in \mathrm{R}\text{, }&a=1\text{ or }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract dax from both sides.

$$dx-dax=0$$

Reorder the terms.

$$-adx+dx=0$$

Combine all terms containing d.

$$\left(-ax+x\right)d=0$$

The equation is in standard form.

$$\left(x-ax\right)d=0$$

Divide 0 by -ax+x.

$$d=0$$