Verified answer

p^2-10p+25 = 0

(p-5)^2 = 0

p = 5

2p^2 - 16p + 45 = 4p - 5

2p^2 - 20p + 50 = 0

2(p^2 - 10p + 25) = 0

2(p - 5)^2 = 0

Solution:

p = 5

2p^2 - 16p + 45 = 4p - 5

2p^2 + 45 = 20p - 5

2p^2 - 20p + 50 = 0

p^2 - 10p + 25 = 0

p^2 - 5p - 5p + 25 = 0

p (p - 5) -5 (p - 5) = 0

p - 5 =0 and p - 5 =0

p = 5 and p = 5

2p² - 20p + 50 = 0

p² - 10p + 25 = 0

(p - 5)² = 0

p = 5