Question

Solve by factoring 4p^2+4p+1=0

Answer 1

Given:

`4p^2+4p+1=0`

is given.

Required:

Solve the given equation by factoring

Step-by-step explanation:

`\begin{gathered} 4p^2+4p+1=0 \\ 4p^2+2p+2p+1=0 \\ 2p(2p+1)+1(2p+1)=0 \end{gathered}`

further simply as:

`\begin{gathered} (2p+1)(2p+1)=0 \\ p=-(1)/(2) \end{gathered}`

Final answer:

`p=-(1)/(2)`