# How do you simplify (10k^2+55k+75)/(20k^2-10k-150) and find any non permissible values?

$\frac{5 \left(2 {k}^{2} + 11 k + 15\right)}{10 \cdot \left(2 {k}^{2} - k - 15\right)} = \frac{\left(x + 3\right) \left(2 x + 5\right)}{2 \left(x - 3\right) \left(2 x + 5\right)} =$
$\frac{x + 3}{2 \left(x - 3\right)}$; $x \ne 3 \mathmr{and} x \ne - \frac{5}{2}$