[tex]$Solve for $x$ over the real numbers: \\ $2 x^{2}+17 x+30=0$\\\\The left hand side factors into a product with two terms:$(x+6)(2 x+5)=0$Split into two equations:$x+6=0 \text { and } 2 x+5=0$Subtract 6 from both sides:$x=-6 \text { and } 2 x+5=0$Subtract 5 from both sides:$x=-6 \text { and } 2 x=-5$Divide both sides by 2 :Answer:$x=-6 \text { and } x=-\frac{5}{2}$[/tex]
