Answer:
x = -3,0,3
Explanation:
5x^3 – 45x = 0
Factor out 5x
5x( x^2 - 9) =0
Factor inside the parentheses which is the difference of squares
a^2 - b^2 = (a-b)(a+b)
5x( x-3)(x+3) =0
Using the zero product property
5x =0 x-3=0 x+3 =0
x=0 x=3 x=-3
x = -3,0,3