Answer
$-1,\dfrac{2}{5}$
Work Step by Step
Given: $x(8x+1)=3x^2-2x+2$
or, $5x^2+3x-2=0$
Need to use factorization to solve the quadratic equation.
This can be factorized as follows:
$5x^2+5x-2x-2=0$
or, $(x+1)(5x-2)=0 $
Now, $x+1=0$ and $5x-2=0$
This implies $x=-1,\dfrac{2}{5}$
