Answer
$\left \{0,\frac{1}{3} \right \}$.
Work Step by Step
The given polynomial equation is
$15x^2-5x=0$
Factor out $5x$ from both terms.
$5x(3x-1)=0$
Set each factor equal to zero.
$5x=0$ or $3x-1=0$
Isolate $x$.
$x=0$ or $x=\frac{1}{3}$
The solution set is $\left \{0,\frac{1}{3} \right \}$.
