Solve by using the quadratic formula. 9x2 + 24x + 32 = 0

The quadratic formula is:

[tex]x= \frac{-b+- \sqrt{ b^{2} -4ac} }{2a} [/tex]

b =coefficient of x term = 24
a = coefficient of squared term = 9
c = constant term = 32

Using the values, we get:

[tex]x= \frac{-24+- \sqrt{576-4(9)(32)} }{2(9)} \\ \\ x= \frac{-24+- \sqrt{-576} }{18} \\ \\ x= \frac{-24+-24i}{18} \\ \\ x= \frac{-4+-4i}{3} \\ \\ x= \frac{-4+4i}{3}, x \frac{-4-4i}{2} [/tex]