Problem of the Week

Updated at May 18, 2026 5:41 PM

For this week we've brought you this equation problem.

How would you solve \(5\times \frac{5}{4(2+u)}=\frac{5}{4}\)?

Here are the steps:



\[5\times \frac{5}{4(2+u)}=\frac{5}{4}\]

1
Simplify  \(5\times \frac{5}{4(2+u)}\)  to  \(\frac{25}{4(2+u)}\).
\[\frac{25}{4(2+u)}=\frac{5}{4}\]

2
Multiply both sides by \(4(2+u)\).
\[25=\frac{5}{4}\times 4(2+u)\]

3
Cancel \(4\).
\[25=5(2+u)\]

4
Divide both sides by \(5\).
\[\frac{25}{5}=2+u\]

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

6
Subtract \(2\) from both sides.
\[5-2=u\]

7
Simplify  \(5-2\)  to  \(3\).
\[3=u\]

8
Switch sides.
\[u=3\]

Done
Cymath foriOSAndroid