#### Answer

x=-$\frac{1}{2}$ or 4

#### Work Step by Step

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.