Introductory Algebra for College Students (7th Edition)

x=-$\frac{1}{2}$ or 4
Rewrite the equation in standard form. 2x$^2$=7x+4 2x$^2$-7x=4 2x$^2$-7x-4=0 Factor the trinomial. (2x+1)(x-4)=0 Set each variable factor as equal to zero and then isolate the variable to find the solutions. 2x+1=0 or x-4=0 2x=-1 or x=4 x=-$\frac{1}{2}$ or x=4 Enter the original equation into your graphing utility to observe that the graph crosses the x-axis at -$\frac{1}{2}$ and 4.