#### Answer

Expression is undefined when
x=$\frac{-9}{2}$ or x=-3

#### Work Step by Step

Expression is undefined when
2$x^{2}$+15x+27=0
2$x^{2}$+6x+9x+27=0
2x(x+3)+9(x+3)=0
(2x+9)(x+3)=0
2x+9=0 or x+3=0
2x=-9 or x=-3
x=$\frac{-9}{2}$ or x=-3