## Introductory Algebra for College Students (7th Edition)

x=$\frac{3}{2}$
Rewrite the equation in standard form. 4x$^2$=12x-9 4x$^2$-12x=-9 4x$^2$-12x+9=0 Factor the trinomial. (2x-3)(2x-3)=0 (2x-3)$^2$=0 Set each variable factor as equal to zero and then isolate the variable to find the solutions. 2x-3=0 2x=3 x=$\frac{3}{2}$ Enter the original equation into your graphing utility to observe that the graph crosses the x-axis at $\frac{3}{2}$.