Solve for x: 2 over 5 plus 3 over 5 x equals quantity x plus 5 over 10
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OpenStudy (anonymous):
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OpenStudy (anonymous):
whats the LMC?
OpenStudy (anonymous):
LCM*
OpenStudy (anonymous):
i don't know what that is
OpenStudy (anonymous):
I'd multiply every term by 10x the common denominator of the 3 fractions
25×10x+35x×10x=x+510×10x
this can be simplified to
4x+6=x(x+5)
which is the same as
4x+6=x2+5x
or
x2+x−6=0
this is a quadratic that can be solved by factoring
hope this helps
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OpenStudy (anonymous):
lowest common multiple what is the lowest number 5,5,10 has in common
OpenStudy (anonymous):
if x = 3
then (3 - 3) = 0
and 0 * (3 + 2) = 0
same for x = -2
substitute it and you get
(-2 -3)(-2 +2) = -5 * 0 = 0
OpenStudy (anonymous):
thank you!
OpenStudy (anonymous):
@makaylarrrrrr hope i helped
OpenStudy (anonymous):
your welcome
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OpenStudy (cj49):
multipy 2/5 by to make the denominater 5x
2x+3/5=x+5/10
cross multiply
10(2x+3)=5x(x+5)
20x+30=5x2+25x
-5x2-5x+30=0
-x2-x+6=0
x=-2 or 3