Introductory Algebra for College Students (7th Edition)

x=$\frac{5}{3}$
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 $\frac{5}{3}$