Answer
x=-7 or 7
Work Step by Step
Factor the binomial using the formula for factoring a difference of squares.
x$^2$-49=0
(x+7)(x-7)=0
Set each variable factor as equal to zero and then isolate the variable to find the solutions.
x+7=0 or x-7=0
x=-7 or x=7
Enter the equation into your graphing utility to observe that the graph crosses the x-axis at -7 and 7.