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