Answer
$x=-4$ or $x=\frac{1}{3}$
Work Step by Step
We are given:
$-3x^2-11x+4=0$
Use the quadratic formula.
$x=\frac{-(-11) \pm \sqrt (-11)^2-4.4(-3)}{2.(-3)}$
$x=\frac{11 \pm 13}{-6}$
Simplify:
$x=\frac{11 +13}{-6}$ or $x=\frac{11 - 13}{-6}$
$x=-4$ or $x=\frac{1}{3}$