SOLUTION: Can you please show the working using the principle of zero products 30d^2+34d+8 = 0

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Question 464409: Can you please show the working using the principle of zero products
30d^2+34d+8 = 0
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
  30dē + 34d + 8 = 0

Divide every term by 2:

  15dē + 17d + 4 = 0

Factor the left side

(5d + 4)(3d + 1) = 0

Now the principle of zero product explained:

This says (5d + 4) multiplied by (3d + 1) equals zero.

The only way that can possibly happen is for one of 
them to equal zero.

So either 5d + 4 equals zero or 3d + 1 equals 0.

So we write and solve the two equations:

5d + 4 = 0     3d + 1 = 0
    5d = -4        3d = -1
     d = -4%2F5         d = -1%2F3

There are two solutions, one for each of those two
possibilities.

Edwin