Answer
x=$\frac{5}{3}$
Work Step by Step
Rewrite the equation in standard form.
9x$^2$=30x-25
9x$^2$-30x=-25
9x$^2$-30x+25=0
Factor the trinomial.
(3x-5)(3x-5)=0
(3x-5)$^2$=0
Set each variable factor as equal to zero and then isolate the variable to find the solutions.
3x-5=0
3x=5
x=$\frac{5}{3}$
Enter the original equation into your graphing utility to observe that the graph crosses the x-axis at $\frac{5}{3}$
