Answer
$-\frac{2}{7}\approx-0.286, \ or, \ -1$
Work Step by Step
For the equation $7x^2 +9x +2= 0$, we use the quadratic formula as follows
$$
x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a},
\\
a=7, \quad b=9, \quad c=2
.$$
That is, $$ x=\frac{-9\pm \sqrt{81-56}}{2(7) }=-\frac{2}{7}\approx-0.286, \ or, \ -1
.$$
