Answer:
The values of d are -2 and 5/3.
Step-by-step explanation:
The given equation is
[tex]3d^2+d-10=0[/tex]
We need to solve for d.
Splitting the middle term we get
[tex]3d^2+6d-5d-10=0[/tex]
[tex]3d(d+2)-5(d+2)=0[/tex]
[tex](d+2)(3d-5)=0[/tex]
Using zero product property we get
[tex]d+2=0\Rightarrow d=-2[/tex]
[tex]3d-5=0\Rightarrow d=\frac{5}{3}[/tex]
Therefore, the values of d are -2 and 5/3.
