[tex]Equate\ the\ equation\ to\ 0.\\\\x^2+2x-63=0.\\\\Now\ use\ the\ quadratic\ equation.\\\\For\ ax^2+bx+c\\\\\frac{-b\pm \!\, \sqrt{b^2-4ac} }{2a}.\\\\a\ is\ 1,\ b\ is\ 2,\ and\ c\ is\ -63.\\\\\frac{-2\pm \!\, \sqrt{2^2-4(1)(-63)} }{2(1)}\\\\\frac{-2\pm \!\, \sqrt{4-(-252)} }{2}\\\\\frac{-2\pm \!\, \sqrt{256} }{2}\\\\\frac{-2\pm \!\, 16}{2}[/tex]