$v=\frac{-\sqrt{84B+25}+23}{42}$
$v=\frac{\sqrt{84B+25}+23}{42}$

$B=\left(3v-2\right)\left(7v-3\right)$

$v=\frac{-\sqrt{84B+25}+23}{42}$
$v=\frac{\sqrt{84B+25}+23}{42}\text{, }B\geq -\frac{25}{84}$