Answer
$x=-4, \dfrac{2}{3}$
Work Step by Step
Given: $3x^2+10x-8=0$
Need to use factorization to solve the quadratic equation.
This can be factorized as follows:
$3x^2-2x+12x-8=0$
or, $(x+4)(3x-2)=0$
Now $x+4=0$ and $3x-2=0$
Roots are $x=-4, \dfrac{2}{3}$