Solve dx/d2=2n

$$\frac { d x } { d 2 } = 2 n$$

Solve for d (complex solution)

$$\left\{\begin{matrix}d=\frac{2d_{2}n}{x}\text{, }&x\neq 0\text{ and }d_{2}\neq 0\\d\in \mathrm{C}\text{, }&n=0\text{ and }x=0\text{ and }d_{2}\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by d_{2}.

$$dx=2nd_{2}$$

The equation is in standard form.

$$xd=2d_{2}n$$

Divide both sides by x.

$$\frac{xd}{x}=\frac{2d_{2}n}{x}$$

Dividing by x undoes the multiplication by x.

$$d=\frac{2d_{2}n}{x}$$

Solve for d

$$\left\{\begin{matrix}d=\frac{2d_{2}n}{x}\text{, }&x\neq 0\text{ and }d_{2}\neq 0\\d\in \mathrm{R}\text{, }&n=0\text{ and }x=0\text{ and }d_{2}\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by d_{2}.

$$dx=2nd_{2}$$

The equation is in standard form.

$$xd=2d_{2}n$$

Divide both sides by x.

$$\frac{xd}{x}=\frac{2d_{2}n}{x}$$

Dividing by x undoes the multiplication by x.

$$d=\frac{2d_{2}n}{x}$$

Solve for d_2

$$\left\{\begin{matrix}d_{2}=\frac{dx}{2n}\text{, }&x\neq 0\text{ and }d\neq 0\text{ and }n\neq 0\\d_{2}\neq 0\text{, }&\left(x=0\text{ or }d=0\right)\text{ and }n=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable d_{2} cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by d_{2}.

$$dx=2nd_{2}$$

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

$$2nd_{2}=dx$$

Divide both sides by 2n.

$$\frac{2nd_{2}}{2n}=\frac{dx}{2n}$$

Dividing by 2n undoes the multiplication by 2n.

$$d_{2}=\frac{dx}{2n}$$

Variable d_{2} cannot be equal to 0.

$$d_{2}=\frac{dx}{2n}\text{, }d_{2}\neq 0$$