if it is \(\frac{3}{3(4c+16)}\)=2c+9, go to AAAAAA
if it is (\(\frac{3}{3}\))(4c+16)=2c+9, go to BBBBB
AAAAAAAAA
\(\frac{3}{3(4c+16)}\)=2c+9
\(\frac{1}{4c+16}\)=2c+9
times 4c+16 to both sides
1=(2c+9)(4c+16)
distribute
1=8c^2+68c+144
minus 1 both sides
0=8c^2+68c+143
use quadratic formula
c=\(\frac{-17- \sqrt{3} }{4}\) or \(\frac{-17+ \sqrt{3} }{4}\)
BBBBBBBBBBBB
(3/3)(4c+16)=2c+9
1(4c+16)=2c+9
4c+16=2c+9
minus 2c both sides
2c+16=9
minus 16 both sides
2c=-7
divide both sides by 2
c=-7/2
c=-3.5
if it is \(\frac{3}{3(4c+16)}\)=2c+9,
c=\(\frac{-17- \sqrt{3} }{4}\) or \(\frac{-17+ \sqrt{3} }{4}\)
if it is (\(\frac{3}{3}\))(4c+16)=2c+9, c=-3.5