Find all the solutions? [-32y^2-24y=0]

Question

Find all the solutions to each equation?

-32y^2-24y=0

Answer 1

[-32y^2-24y=0]

Factor out the greatest common multiples for both -32y^2 and -24y, in this case, it is -8y

-8y(4y+3) = 0

Set both terms equal to 0 and solve for y

-8y = 0; y= 0

4y+3 = 0; subtract 3 on both sides and then divide both sides by 4 to isolate y resulting to y= -3/4.

Results:

y= 0, -3/4

Answer 2

-8y(4y + 3) = 0

-8y = 0

y = 0

4y+3 = 0

4y = -3

y = -3/4

The solutions are -3/4 and 0.