The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0\\[1 em]x_2 &= 3 \end{aligned} $$Step 1:
Factor out $ \color{blue}{ -x }$ from $ -x^3+6x^2-9x $ and solve two separate equations:
$$ \begin{aligned} -x^3+6x^2-9x & = 0\\[1 em] \color{blue}{ -x }\cdot ( x^2-6x+9 ) & = 0 \\[1 em] \color{blue}{ -x = 0} ~~ \text{or} ~~ x^2-6x+9 & = 0 \end{aligned} $$One solution is $ \color{blue}{ x = 0 } $. Use second equation to find the remaining roots.
Step 2:
The solution of $ ~ x^2-6x+9 = 0 ~$ is $~ x = 3 ~$.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this quadratic equation.