SOLUTION: Solve by factoring and using the principle of zero products. 18d^2 + 30d + 12 = 0

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve by factoring and using the principle of zero products. 18d^2 + 30d + 12 = 0      Log On


   



Question 173196This question is from textbook Introductory Algebra
: Solve by factoring and using the principle of zero products.
18d^2 + 30d + 12 = 0
This question is from textbook Introductory Algebra

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve by factoring:
18d%5E2%2B30d%2B12+=+0 First factor 3 from the trinomial.
6%283d%5E2%2B5d%2B2%29+=+0 so that you now have:
3d%5E2%2B5d%2B2+=+0 Now factor the trinomial.
%283d%2B2%29%28d%2B1%29+=+0 Now apply the zero product rule.
3d%2B2+=+0 or d%2B1+=+0
If 3d%2B2+=+0 then 3d+=+-2 and so d+=+-2%2F3
If+d%2B1+=+0 then d+=+-1
The solution is:
highlight%28d+=+-2%2F3%29
highlight%28d+=+-1%29