Answer
-3 and 0 and 3
Work Step by Step
4$y^{3}$-36y=0
y(4$y^{2}$-36)=0
y(2y-6)(2y+6)=0
y=0 or 2y-6=0 or 2y+6=0
y=0 or 2y-6+6=0+6 or 2y+6-6=0-6
y=0 or 2y=6 or 2y=-6
y=0 or y= $\frac{6}{2}$ or y=$\frac{-6}{2}$
y=0 or y=3 or y=-3
The solutions are 0 and 3 and -3.
Check
Let x=o
4$y^{3}$-36y=0
4*$0^{3}$-36*0=0
0-0=0
0=0
Let x= 3
4$y^{3}$-36y=0
4*$3^{3}$-36*3=0
4*27-108=0
108-108=0
0=0
Let x=- 3
4$y^{3}$-36y=0
4*$(-3)^{3}$-36(-3)=0
4(-27)+108=0
-108+108=0
0=0