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

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Can you please show the working using the principle of zero products 30d^2+34d+8 = 0      Log On

 Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo . Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Mathway solves algebra homework problems with step-by-step help!

 Question 464409: Can you please show the working using the principle of zero products 30d^2+34d+8 = 0Answer by Edwin McCravy(9717)   (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```