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

User Piyush Katariya
by
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1 Answer

16 votes
16 votes

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)

User Foralobo
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2.7k points