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OpenStudy (anonymous):
OpenStudy (goldphenoix):
You want to solve x? If so, you want to cross multiply.
OpenStudy (goldphenoix):
We know that 3 * 1 =3
So what's (x-2) * (x) give us?
OpenStudy (anonymous):
2x-2
OpenStudy (goldphenoix):
Not quite. You want to do the distributive property.
So what's x(x-2)?
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OpenStudy (anonymous):
is it 1x-2
OpenStudy (goldphenoix):
Well. What's
x *x give us?
OpenStudy (anonymous):
1x
OpenStudy (goldphenoix):
Nope. Here, I'll give you an example:
What's 2 * 2?
OpenStudy (anonymous):
4
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OpenStudy (goldphenoix):
Good. What is another way of saying 2 * 2?
OpenStudy (anonymous):
2+2
OpenStudy (goldphenoix):
Nope.
OpenStudy (goldphenoix):
Tip: exponent
OpenStudy (anonymous):
2^2
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OpenStudy (goldphenoix):
Great! So what's
x *x give us?
OpenStudy (anonymous):
x^2
OpenStudy (goldphenoix):
Great. What's -2 * x?
OpenStudy (anonymous):
-2x^2
OpenStudy (goldphenoix):
Hmm. Tip: There's only one x. So what's it?
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OpenStudy (anonymous):
-2x
OpenStudy (anonymous):
\[\frac{ x }{ x }\left( \frac{ x-2 }{ 3 } \right) = \frac{ 1 }{ x }\left( \frac{ 3 }{ 3 } \right)\]\[\frac{ x^2-2x }{ 3x } = \frac{ 3 }{ 3x }\]
\[\frac{ x^2-2x-3 }{ 3x } =0\]
divide both sides by the denominator , 3x
so you're left with \[x^2-2x-3\]
which can also be said as (x-3)(x+1)
sooo, we can find the values of x by....
x-3=0 or x+1=0
isolate for x on both equations.
x=3 or x= -1
there are two solutions to this equation, where the variable x could either be 3 or -1.
OpenStudy (goldphenoix):
Hmm. I think I did something wrong.
OpenStudy (goldphenoix):
Alexeis got it. Good job.
OpenStudy (anonymous):
lol thanks. @GoldPhenoix
@Gustavo_xD do you understand what i did ?
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