Question

Solve the equation $d^2-5d=0$ by factoring.

Short answer

The solution for the equation is$d=\left\{0,5\right\}$.

Step-by-step solution

Step 1. Write down the given expression.

The given equation is $d^2-5d=0$.

Step 2. Simplify the equation.

The given equation $d^2-5d=0$ is solved as:

$\begin{array}{c}{d}^2-5d=\mathrm{0....}\left(\text{Given}\right)\\ d\left(d-5\right)=\mathrm{0....}\left(\text{Factoring}\right)\\ d=0\text{or}d-5=0\\ d=0\text{or}d=5\\ d=\left\{0,5\right\}\end{array}$

Step 4. Conclusion.

The solution for the given equation is $d=\left\{0,5\right\}$.