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OpenStudy (fanduekisses):
first you want it to be in this form: ax + bx + c = 0
OpenStudy (candy13106):
ok
OpenStudy (fanduekisses):
ax^2+bx+c my bad
OpenStudy (fanduekisses):
So what can you do to have it in that form? Can you try?
OpenStudy (candy13106):
3r^2-16r-12=0
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OpenStudy (fanduekisses):
ok perfect
OpenStudy (campbell_st):
same process as before... multiply a and c
then find the factors that add to - 16
OpenStudy (candy13106):
-18 and 2
OpenStudy (candy13106):
r the factors
OpenStudy (fanduekisses):
|dw:1431906871825:dw|
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OpenStudy (campbell_st):
that's correct... so start with
\[\frac{(3r - 18)(3r + 2)}{3}\]
factor the 1st linear factor... you will then see a common factor that cancels with the denominator...
what is left is the 2 linear factors
OpenStudy (candy13106):
common factor is 3
OpenStudy (campbell_st):
great so it becomes
\[\frac{3(x - 6)(3x + 2)}{3} = (x -6)(3x + 2) \]
now you can solve the linear factors if necessary
OpenStudy (campbell_st):
this method avoids the messy cross method stuff..
OpenStudy (candy13106):
ok so i got x=6 and x=2/3
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OpenStudy (candy13106):
is that right
OpenStudy (campbell_st):
the 2nd choice should be x = -2/3
OpenStudy (candy13106):
oh
OpenStudy (campbell_st):
x = 6 is correct
OpenStudy (candy13106):
k thanks
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