hello someone pls take me step by step on how to do this

Given
[tex]4c^2+4c+1[/tex]Find
Whether it is a perfect sqaure or not
Explanation
[tex]\begin{gathered} 4c^2+4c+1=0 \\ 4c^2+2c+2c+1=0 \\ 2c(2c+1)+1(2c+1)=0 \\ (2c+1)(2c+1)=0 \\ (2c+1)^2=0 \end{gathered}[/tex]Final Answer
yes , it is a perfect sqaure