Answer
x=-$\frac{5}{3}$ or -1
Work Step by Step
Rewrite the equation so it is in standard form.
x(3x+8)=-5
3x$^2$+8x=-5
3x$^2$+8x+5=0
Factor the trinomial.
(3x+5)(x+1)=0
Set each variable factor as equal to zero and then isolate the variable to find the solutions.
3x+5=0 or x+1=0
3x=-5 or x=-1
x=-$\frac{5}{3}$ or x=-1
Enter the original equation into your graphing utility to observe that the graph crosses the x-axis at -$\frac{5}{3}$ and -1.
