Solve dy=d/1(t(t+1)(t+2))

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

Solve for d

$$\left\{\begin{matrix}\\d=0\text{, }&\text{unconditionally}\\d\in \mathrm{R}\text{, }&y=t\left(t+1\right)\left(t+2\right)\end{matrix}\right.$$

Steps for Solving Linear Equation

Anything divided by one gives itself.

$$dy=dt\left(t+1\right)\left(t+2\right)$$

Use the distributive property to multiply dt by t+1.

$$dy=\left(dt^{2}+dt\right)\left(t+2\right)$$

Use the distributive property to multiply dt^{2}+dt by t+2 and combine like terms.

$$dy=dt^{3}+3dt^{2}+2dt$$

Subtract dt^{3} from both sides.

$$dy-dt^{3}=3dt^{2}+2dt$$

Subtract 3dt^{2} from both sides.

$$dy-dt^{3}-3dt^{2}=2dt$$

Subtract 2dt from both sides.

$$dy-dt^{3}-3dt^{2}-2dt=0$$

Combine all terms containing d.

$$\left(y-t^{3}-3t^{2}-2t\right)d=0$$

Divide 0 by y-t^{3}-3t^{2}-2t.

$$d=0$$