Solve dx=d(x+1/2)

$$d x = d ( x + \frac { 1 } { 2 } )$$

Solve for d

$$d=0$$

Steps for Solving Linear Equation

Use the distributive property to multiply d by x+\frac{1}{2}.

$$dx=dx+\frac{1}{2}d$$

Subtract dx from both sides.

$$dx-dx=\frac{1}{2}d$$

Combine dx and -dx to get 0.

$$0=\frac{1}{2}d$$

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

$$\frac{1}{2}d=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since \frac{1}{2} is not equal to 0, d must be equal to 0.

$$d=0$$

Solve for x (complex solution)

$$x\in \mathrm{C}$$

$$d=0$$

Solve for x

$$x\in \mathrm{R}$$

$$d=0$$