Verified Answer :

\(4b^2+8b+7=4\)

Quadratic equation formula:

For a quadratic equation  of the  form \(ax^2+bx+c=0\)
the solution are:

\(x_1,2= \frac{-b \frac{+}{-} \sqrt{b^2-4*a*c} }{2*a}\)

for a = 4 , b = 8 , c = 3

\(b_1,2= \frac{-8 \frac{+}{-} \sqrt{8^2-4*4*3} }{2*4}\)

\(b= \frac{-8+ \sqrt{8^2-4*4*3}}{2*4} =- \frac{1}{2}\)

\(b= \frac{-8- \sqrt{8^2-4*4*3} }{2*4} = -\frac{3}{2}\)

The final solutions to the quadratic equation are:

\(b= -\frac{1}{2} ,b=- \frac{3}{2}\)

hope this helps!