Answer
$\dfrac{1}{3},-2$
Work Step by Step
Given: $3x^2=2-5x$
or, $30x^2+5x-2=0$
Need to use factorization to solve the quadratic equation.
This can be factorized as follows:
$30x^2-x+6x-2=0$
or, $(3x-1)(x+2)=0$
Now $3x-1=0$ and $x+2=0$
Roots are $x= \dfrac{1}{3},-2$