Problem of the Week

Updated at Apr 21, 2025 4:43 PM

This week we have another equation problem:

How would you solve the equation \(\frac{5p(p+2)}{25}=\frac{24}{5}\)?

Let's start!



\[\frac{5p(p+2)}{25}=\frac{24}{5}\]

1
Simplify  \(\frac{5p(p+2)}{25}\)  to  \(\frac{p(p+2)}{5}\).
\[\frac{p(p+2)}{5}=\frac{24}{5}\]

2
Multiply both sides by \(5\).
\[p(p+2)=24\]

3
Expand.
\[{p}^{2}+2p=24\]

4
Move all terms to one side.
\[{p}^{2}+2p-24=0\]

5
Factor \({p}^{2}+2p-24\).
\[(p-4)(p+6)=0\]

6
Solve for \(p\).
\[p=4,-6\]

Done