Given the equation
[tex]\sqrt[]{2w+8}=-w[/tex]
To solve the question, we will follow the steps below:
Step 1: square both sides
[tex]2w+8=(-w)^2[/tex]
Step 2: Simplify the expression
[tex]2w+8=w^2[/tex][tex]w^2-2w-8=0[/tex]
simplifying further
[tex](w+2)(w-4)=0[/tex]
Finding the zeros gives
[tex]\begin{gathered} w=-2\text{ } \\ or \\ w=4 \end{gathered}[/tex]
Hence
The solutions are: -2,4
