Answer
x=-$\frac{7}{5}$ or $\frac{7}{5}$
Work Step by Step
Rewrite the equation so it is in standard form.
25x$^2$=49
25x$^2$-49=0
Factor the binomial using the formula for factoring a difference of squares.
(5x+7)(5x-7)=0
Set each variable factor as equal to zero and then isolate the variable to find the solutions.
5x+7=0 or 5x-7=0
5x=-7 or 5x=7
x=-$\frac{7}{5}$ or x=$\frac{7}{5}$
Enter the equation into your graphing utility to observe that the graph crosses the x-axis at -$\frac{7}{5}$ or $\frac{7}{5}$.
