Question

How do I solve by factoring: 2y^2 + 5y = -2?

Answer 1

I got y^2 + 5/2y + 1 =0 now what?

Answer 2

you could use the quadratic formula but that is time consuming ...

Answer 3

here's how I solve it : 2y^+5y+2 =0

Answer 4

I have to use factoring..

Answer 5

Take a and c and multiply them : 2*2 = 4

Answer 6

so I don't divide by 2 to get y^2?

Answer 7

b is the sum ... look for factors of 4 positive and negative that add up to 5...

Answer 8

you don't have to ...

Answer 9

factors of 4 adding up to 5 are 4 and 1 ...right?

Answer 10

Now... substitute b with the two terms we found (4 and 1 )

Answer 11

2y^2 +4y +1y +2 =0 same thing right?

Answer 12

now factor by grouping ...can you do that?

Answer 13

2y(y+2)+1(y+2) =0 and factor the GCF -> (y+2)(2y+1)=0

Answer 14

yeah I can thank you!

Answer 15

You're welcome ...this method works for all trinomials with leading coefficient ≠1

Answer 16

btw you have to divide by 2 when you have to solve by Completing the Square .

Answer 17

factor the GCF -> (y+2)(2y+1)=0? What do you mean?

Answer 18

ohh, okay.