Which are the solutions of 18x^3=50x?

A. 0,5/3
B. -5/3,5/3
C. -5/3,0,5/3
D. -5/3,1,5/3

I don't know how to get the answer.

3 answers

18x^3 - 50x = 0
x(18x^2 - 50) = 0
x = 0 or x^2 = 50/18 = 25/9

so x=0 or x= ±5/3
I don't understand how you get x^2=50/18
from
x(18x^2 - 50) = 0

x = 0 or 18x^2 - 50 = 0

18x^2 = 50 now divide both sides by 18

x^2 = 50/18 which reduces to 25/9

x^2 = 25/9

From there I got my final answer by taking the square root of both sides