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Mathematics 21 Online
OpenStudy (carlyleukhardt):

http://prntscr.com/92c6uk

OpenStudy (carlyleukhardt):

What is the solution?

Vocaloid (vocaloid):

start by multiplying both sides by 3

OpenStudy (carlyleukhardt):

What are the sides? XD

Vocaloid (vocaloid):

both sides of the equation...

Vocaloid (vocaloid):

you have the left side of the equal sign, which is the n(-2n-2)/3 part and the right side, which is the 12 now multiply both sides by 3

OpenStudy (carlyleukhardt):

12=36. But how do i do the first one?

Vocaloid (vocaloid):

when you multiply the expression by 3, the 3 in the denominator cancels out

Vocaloid (vocaloid):

|dw:1447431724131:dw|

Vocaloid (vocaloid):

|dw:1447431754272:dw|

Vocaloid (vocaloid):

now we set that equal to 36 and solve for n

Vocaloid (vocaloid):

|dw:1447431791768:dw|

Vocaloid (vocaloid):

next, distribute the n on the left side

OpenStudy (carlyleukhardt):

Im stuck..!! everything made sense but i don't get the (-2n-2) part.

Vocaloid (vocaloid):

apply the distributive property A(B-C) = A*B - A*C n(-2n-2) = ?

OpenStudy (carlyleukhardt):

n=0 ????

Vocaloid (vocaloid):

no, I'm not asking you to solve for n, I'm asking you to rewrite the expression

Vocaloid (vocaloid):

n*(-2n) = ?

OpenStudy (carlyleukhardt):

-2n= n?????????????????? omg :o IM SO CONFUSED ON WHAT TO DO HERE!!!!

Vocaloid (vocaloid):

just multiply them together...

OpenStudy (anonymous):

I may be doing my math wrong, but wouldn't it equal -2n^2?

OpenStudy (carlyleukhardt):

I don't know what n is though? So how could i multiply n and that?

Vocaloid (vocaloid):

we can still multiply n by n to get n^2, like duck said

Vocaloid (vocaloid):

(n)*(-2n) = -2n^2

OpenStudy (carlyleukhardt):

Ohhhh so it equals -2n^2?

Vocaloid (vocaloid):

we can perform math operations on variables without knowing what the variables are like, how x + x = 2x

Vocaloid (vocaloid):

yes, (n)*(-2n) = -2n^2 now multiply (-2) and n

OpenStudy (carlyleukhardt):

-2*n= n? >_<

Vocaloid (vocaloid):

-2*n is just -2n

OpenStudy (carlyleukhardt):

Ohhh. Okay... So that's all?

Vocaloid (vocaloid):

now we keep going n(-2n-2) = -2n^2-2n after we apply the distributive property

Vocaloid (vocaloid):

|dw:1447432448432:dw|

Vocaloid (vocaloid):

then divide both sides by 2

OpenStudy (carlyleukhardt):

36 divided by 2 = 18. So what is the next one i divide?

Vocaloid (vocaloid):

don't forget the left side

OpenStudy (carlyleukhardt):

2n?

OpenStudy (anonymous):

Just a suggestion... wouldn't you want to square root both sides before dividing?

Vocaloid (vocaloid):

why would I take the square root?

OpenStudy (anonymous):

Isolation of the variable n, when you have 2n^2, It'd be easier to square root it in the beginning, while you still have a perfect square..

Vocaloid (vocaloid):

|dw:1447432659297:dw|

OpenStudy (anonymous):

I may be wrong, but that's just how I saw that.

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