Hi. i need with math. best gets brainiest.

Zero product says that if you have
x=0, then the non-zero factors equal zero

so
try to move all to one side to get it to equal zero and factor

4y^3-4=y-16y^2
add 16y^2 to both sides
4y^3+16y^2-4=y
subtract y
4y^3+16y^2-y-4=0
gropu and factor
(4y^3+16y^2)+(-y-4)=0
(4y^2)(y+4)+(-1)(y+4)=0
reverse distribute
ba+ca=a(b+c)
(4y^2-1)(y+4)=0
set each to zero

4y^2-1=0
add 1
4y^2=1
divide by 4
y^2=1/4
square root both sides
y=+/-1/2

y+4=0
minus 4
y=-4

y=-4,-1/2,1/2

answer is A -4,-1/2,1/2

Subtract  from both sides





Solving by factoring:

Factor 



Factor out  from 

Factor out  from 

Factor out common term 



Factor 



Using the zero factor principle:

Solve 

Solve 

Solve 

The final solutions to the equation are :







Answer A

hope this helps! =)