Solve d(pi/2-x)=-dx

$$d ( \frac { \pi } { 2 } - x ) = - d x$$

Solve for d

$$d=0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$2d\left(\frac{\pi }{2}-x\right)=2\left(-d\right)x$$

Use the distributive property to multiply 2d by \frac{\pi }{2}-x.

$$2d\times \frac{\pi }{2}-2dx=2\left(-d\right)x$$

Express 2\times \frac{\pi }{2} as a single fraction.

$$\frac{2\pi }{2}d-2dx=2\left(-d\right)x$$

Cancel out 2 and 2.

$$\pi d-2dx=2\left(-d\right)x$$

Subtract 2\left(-d\right)x from both sides.

$$\pi d-2dx-2\left(-d\right)x=0$$

Multiply -1 and 2 to get -2.

$$\pi d-2dx-2\left(-1\right)dx=0$$

Multiply -2 and -1 to get 2.

$$\pi d-2dx+2dx=0$$

Combine -2dx and 2dx to get 0.

$$\pi d=0$$

Divide 0 by \pi .

$$d=0$$

Solve for x (complex solution)

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

$$d=0$$

Solve for x

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

$$d=0$$