find the value of p which will make the product of 2p-5 and p-4 equal in the value of p+8

Dear Student,

(2p -5)(p-4) = (p+8)

2p² - 13p + 20  = p + 8

2p² - 14p + 12  = 0

p² - 7p + 6  = 0

p² - 6p - p + 6  = 0

p(p - 6) - 1(p - 6) = 0

(p - 6)(p - 1) = 0

p = 6 and p = 1,

These p values meet the condition.

regards,

Team,

TopperLearning.