solve for y

Question

-20y=4y^2+25

Answer 1

To solve for y, we need to rearrange the equation so that it is set to equal zero:

4y^2 + 20y - 25 = 0

Next, let's try to factor the expression:

4y^2 + 20y - 25 = 0
4y^2 + 25y - 5y - 25 = 0
4y(y + 5) - 5(y + 5) = 0
(4y - 5)(y + 5) = 0

Now we have factored the expression, so we can set each factor to equal zero and solve for y:

4y - 5 = 0
4y = 5
y = 5/4

and

y + 5 = 0
y = -5

Therefore, the solutions for y are y = 5/4 or y = -5.