Answer:
[tex](w-2)(w+2)=0[/tex]Explanation:
We were given that:
[tex]100=25w^2[/tex]We will simplify it as shown below:
[tex]\begin{gathered} 100=25w^2 \\ \Rightarrow25w^2=100 \\ \text{Divide both sides by ''25'', we have:} \\ w^2=\frac{100}{25} \\ w^2=4 \\ \text{Subtract ''4'' from both sides, we have:} \\ w^2-4=0 \\ \text{Using the difference of 2 squares, we have:} \\ (w-2)(w+2)=0 \end{gathered}[/tex]