How do you solve the equation #-x^2-7x=0# by graphing?

1 Answer
Mar 30, 2017

#x=0# or #x=-7#
#color(white)("XXXXXXX")#see below for solution by graphing.

Explanation:

If you have graphing software (or a graphing calculator) you should be able to generate the graph for #f(x)=-x^2-7x#.
Here is what it looks line with Socratic's Graph utility:
graph{-x^2-7x [-16.02, 12.45, -1.78, 12.44]}
You can see that the graph crosses the X-axis (that is #-x^2-7x=0#) at #x=0# and #x=-7#.