Given:
[tex]4p^2+4p+1=0[/tex]is given.
Required:
Solve the given equation by factoring
Explanation:
[tex]\begin{gathered} 4p^2+4p+1=0 \\ 4p^2+2p+2p+1=0 \\ 2p(2p+1)+1(2p+1)=0 \end{gathered}[/tex]further simply as:
[tex]\begin{gathered} (2p+1)(2p+1)=0 \\ p=-\frac{1}{2} \end{gathered}[/tex]Final answer:
[tex]p=-\frac{1}{2}[/tex]
