Let's say the negative number is [tex]x[/tex]. We know that [tex]x[/tex] times [tex]2x-2[/tex] is 760. Setting up a quadratic, we have [tex]2x^2-2x-760=0[/tex]. Using the quadratic formula, you have [tex]x = 20, x = -19[/tex]. The problem stipulated that [tex]x[/tex] is negative, therefore, x = -19.
