Question

4x^2+32x-260=0

Answer 1

Divide both sides by 4 and then factor.

Answer 2

Factor out a 4 first, what do you get?

Answer 3

\[x^2+8x-65=0\]

Answer 4

Do the diamond method. Multiply the number before x^2 (which in this case is 1) and -65. Then you have to figure out what two numbers multiply to -65 and add to 8?

Answer 5

It would be 4(x^2 + 8x - 65)
Now what 2 numbers multiply to be -65, and add to be 8?

Answer 6

13 and -5

Answer 7

Yep, now how would you set that up?

Answer 8

\[2(x+13) 2(x-5)\]

Answer 9

Or just 4(x+13)(x-5)

Answer 10

4(x+13)(x-5)=0

Answer 11

And then the same as last time.. the x is just 5 and -13

Answer 12

ok i understand that thank you so much......i have completed another problem because i think i understand this could you check to see if my answer is correct??

Answer 13

Sure!