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