Question

Factor.
60y^2 - 27y -60

Answer 1

y = 1.25, -0.8

Answer 2

start be taking out a common factor of 3, to get
\[3 (20 y^2-9 y-20)\]

Answer 3

then you can factor as
\[3 (4 y-5) (5 y+4)\]

Answer 4

60 y^2-27 y-60 = 0
Solve the quadratic equation by completing the square:

Divide both sides by 60:
y^2-(9 y)/20-1 = 0
Add 1 to both sides:
y^2-(9 y)/20 = 1
Add 81/1600 to both sides:
y^2-(9 y)/20+81/1600 = 1681/1600
Factor the left hand side:
(y-9/40)^2 = 1681/1600
Take the square root of both sides:
sqrt(y-9/40) = 41/40
Eliminate the absolute value:
y-9/40 = -41/40 or y-9/40 = 41/40
Add 9/40 to both sides:
y = -4/5 or y-9/40 = 41/40
Add 9/40 to both sides:
y = -4/5 or y = 5/4

Answer 5

i think the question just said
"factor"