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

Algebra.Com
Question 464409: Can you please show the working using the principle of zero products
30d^2+34d+8 = 0
Answer by Edwin McCravy(20054)   (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 =          d = 

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

Edwin
RELATED QUESTIONS

Solve by factoring and using the principle of zero products. 18d^2 + 30d + 12 = 0 (answered by jim_thompson5910,Earlsdon)
Solve by factoring and using the principle of zero products. 18d^2 + 30d + 12 =... (answered by Earlsdon)
Solve using the principle of zero products. (x - 2)(2x + 8) =... (answered by Earlsdon)
Solve by factoring and using the principle of zero products 9x^2 + 6x - 8 = 0... (answered by stanbon)
Solve by factoring and using the principle of zero products. 25y^2 + 30y + 8 = 0 (answered by htmentor)
can you help me solve by factoring and using the principle of zero products... (answered by anantha)
Solve using the principle of zero products b(b + 16)(b + 3) = 0 please someone show... (answered by Alan3354)
Can you help me solve this by using the principle of zero products:... (answered by richwmiller)
Solve 36k^2 = 49 using the principle of zero... (answered by Tatiana_Stebko)