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Mathematics 15 Online
OpenStudy (ja1):

WILL GIVE FAN AND MEDAL! (Attaching Pic)

OpenStudy (ja1):

OpenStudy (mathstudent55):

Start by cross multiplying.

OpenStudy (anonymous):

Just cross-multiply. 2x^2=-16x-30 2x^2+16x+30=0

OpenStudy (uri):

Just someone asked this question xD

OpenStudy (ja1):

Yes yes I did the work but I got up till here: \[-x^2 - 8x - 15\]

OpenStudy (ja1):

So how do I factor this?

OpenStudy (ja1):

I know the factors are 3 and 5 but are they negative or positive?

OpenStudy (uri):

Double negative=positive.

OpenStudy (anonymous):

wait u divide 2 by (2x^2+16x+30) than u get x^2+8x+15 which is (x+5)(x+3)=0 than u do x+5=0 and x+3=0 which is x=-3,-5

OpenStudy (ja1):

Yes but C is -15 so that is not possible.

OpenStudy (uri):

x^2-8x-15 x^2-5x+3x-15 x(x-5)-3(x-5) (x-5)(x-3)

OpenStudy (ja1):

No the 2 got cancelled when I cross multiplied: \[\frac{ 2x }{ 2(8x + 15) } = \frac{ -1 }{ x }\]

OpenStudy (mathstudent55):

\( -1(16x + 30) = 2x (x)\) \(-16x - 30 = 2x^2 \) \(2x^2 + 16x + 30 = 0\) \(x^2 + 8x + 15 = 0\) \((x + 3)(x + 5) = 0 \) \(x + 3 = 0\) or \(x + 5 = 0\) \(x = -3\) or \(x = -5 \)

OpenStudy (ja1):

But don't I cancel out the like terms when I cross multiplied?

OpenStudy (anonymous):

nono dont cancel 2

OpenStudy (ja1):

Hmm... ok then

OpenStudy (anonymous):

i mean if u cancel 2 ull still get same answer

OpenStudy (ja1):

Yes but it wouldn't work out because -3 and -5 do not make -15

OpenStudy (mathstudent55):

@JA1 You really have an equation, so you have this: \(-x^2 - 8x - 15 = 0\) Multiply both sides by -1: \(x^2 + 8x + 15 = 0\) Now you can factor as I did above using factors 3 and 5.

OpenStudy (anonymous):

because x^2=-8x-15 so u move it to other side and gets x^2+8x+15=0

OpenStudy (ja1):

O.M.G.

OpenStudy (ja1):

I am so shortsighted <_<

OpenStudy (ja1):

I understand now, I need to make it so instead of making x^2 negative I can simply make the other side positive....

OpenStudy (anonymous):

yes..

OpenStudy (ja1):

OMG thank you so much xD because of that I got a 90 on my test

OpenStudy (ja1):

You both deserve medls but I only have one D:

OpenStudy (anonymous):

dont ever move variable to toher side because it gets confusing

OpenStudy (ja1):

Ah I see...I alwyas mess it up xD well thanks bunch

OpenStudy (anonymous):

good bye

OpenStudy (ja1):

Bye bye

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