2p^2-15p+8=43 how do you complete the square to this equation

1. You have:

2p²-15p+8=43

2p²-15p-35=0

2. the leading coefficient "a" must be 1. So, you need to divide the terms by 2:

p² - (15p/2) - (35/2) = 0

3. Now, you have:

(b/2) ² = (15/2/2) ² = (15/4) ²

p²-15p - (15/4) ²=35 + (15/4) ²

(p-15/4) ²=35+225/16

4. Finally, you obtain:

(p-15/4) ²=505/16