Solve D(D-1)+4D=D(D-8)

$$D ( D - 1 ) + 4 D = D ( D - 8 )$$

Solve for D

$$D=0$$

Steps for Solving Linear Equation

Use the distributive property to multiply D by D-1.

$$D^{2}-D+4D=D\left(D-8\right)$$

Combine -D and 4D to get 3D.

$$D^{2}+3D=D\left(D-8\right)$$

Use the distributive property to multiply D by D-8.

$$D^{2}+3D=D^{2}-8D$$

Subtract D^{2} from both sides.

$$D^{2}+3D-D^{2}=-8D$$

Combine D^{2} and -D^{2} to get 0.

$$3D=-8D$$

Add 8D to both sides.

$$3D+8D=0$$

Combine 3D and 8D to get 11D.

$$11D=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since 11 is not equal to 0, D must be equal to 0.

$$D=0$$