How do you solve #-10+ \frac { 30} { v } = v - 17#?

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Answer 1 · 2018-03-17T18:03:03

#v=-3 or v=10#

#-10 + 30/v = v - 17#

Start by multiplying all terms by #v# then cancel:

#-10v + 30 = v *v - 17v#

#-10v + 30 = v^2 -17v#

#-10v + 30 -v^2 + 17v =0#

#-v^2 + 7v + 30 =0#

Now we can factorize the left side

#(-v-3)(v-10)=0#

Then set factors equal to #0#

#-v-3=0 or v - 10 =0#

#v = 0 -3 or v = 0 + 10#

#v = -3 or v=10#