get all on one side
add 9x+4 both sides
4x^2+9x+4=0
use quadratic formula
in form
ax^2+bx+c=0
x=\(\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}\)
a=4
b=9
c=4
x=\(\frac{-9+/- \sqrt{9^{2}-4(4)(4)} }{2(4)}\)
x=\(\frac{-9+/- \sqrt{81-64} }{8}\)
x=\(\frac{-9+/- \sqrt{17} }{8}\)
x=\(\frac{-9+ \sqrt{17} }{8}\) or \(\frac{-9- \sqrt{17} }{8}\)
aprox
x=-1.64039 or -0.6096
