Problem of the Week

Updated at Feb 27, 2023 11:21 AM

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

How can we solve the equation \(\frac{4(z-3)(z-3)}{5}=0\)?

Here are the steps:



\[\frac{4(z-3)(z-3)}{5}=0\]

1
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[\frac{4{(z-3)}^{2}}{5}=0\]

2
Multiply both sides by \(5\).
\[4{(z-3)}^{2}=0\times 5\]

3
Simplify  \(0\times 5\)  to  \(0\).
\[4{(z-3)}^{2}=0\]

4
Divide both sides by \(4\).
\[{(z-3)}^{2}=0\]

5
Take the square root of both sides.
\[z-3=0\]

6
Add \(3\) to both sides.
\[z=3\]

Done
Cymath foriOSAndroid