Solve d_{1}=1/1+3dx

$$d _ { 1 } = \frac { 1 } { 1 + 3 } d x$$

Solve for d (complex solution)

$$\left\{\begin{matrix}d=\frac{4d_{1}}{x}\text{, }&x\neq 0\\d\in \mathrm{C}\text{, }&d_{1}=0\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Add 1 and 3 to get 4.

$$d_{1}=\frac{1}{4}dx$$

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

$$\frac{1}{4}dx=d_{1}$$

The equation is in standard form.

$$\frac{x}{4}d=d_{1}$$

Divide both sides by \frac{1}{4}x.

$$\frac{4\times \frac{x}{4}d}{x}=\frac{4d_{1}}{x}$$

Dividing by \frac{1}{4}x undoes the multiplication by \frac{1}{4}x.

$$d=\frac{4d_{1}}{x}$$

Solve for d

$$\left\{\begin{matrix}d=\frac{4d_{1}}{x}\text{, }&x\neq 0\\d\in \mathrm{R}\text{, }&d_{1}=0\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Add 1 and 3 to get 4.

$$d_{1}=\frac{1}{4}dx$$

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

$$\frac{1}{4}dx=d_{1}$$

The equation is in standard form.

$$\frac{x}{4}d=d_{1}$$

Divide both sides by \frac{1}{4}x.

$$\frac{4\times \frac{x}{4}d}{x}=\frac{4d_{1}}{x}$$

Dividing by \frac{1}{4}x undoes the multiplication by \frac{1}{4}x.

$$d=\frac{4d_{1}}{x}$$

Solve for d_1

$$d_{1}=\frac{dx}{4}$$

Solution Steps

Add 1 and 3 to get 4.

$$d_{1}=\frac{1}{4}dx$$