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 $0$

$-v-3=0 or v - 10 =0$

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

$v = -3 or v=10$

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