For this case we must find the solution of the following equation:
[tex]7v ^ 2 = -v[/tex]
Rewriting we have:
[tex]7v ^ 2 + v = 0[/tex]
We take common factor v:
[tex]v (7v + 1) = 0[/tex]
Equality is satisfied when [tex]v = 0[/tex]and when [tex]v = - \frac {1} {7}[/tex]
Thus, it is observed that we have two solutions:
[tex]x_ {1} = 0\\x_ {2} = - \frac {1} {7}[/tex]
ANswer:
[tex]x_ {1} = 0\\x_ {2} = - \frac {1} {7}[/tex]
