Answer
Solutions:
$x=\frac{5}{2}$
$x=-3$
Work Step by Step
$15+x-2x^2=0~~$ ($a=-2,b=1,c=15$)
$x=\frac{-b±\sqrt {b^2-4ac}}{2a}=\frac{-1±\sqrt {1^2-4(-2)(15)}}{2(-2)}=\frac{-1±\sqrt {121}}{4}=\frac{-1±11}{4}$
$x=\frac{10}{4}=\frac{5}{2}$ or $x=\frac{-12}{4}=-3$