You can put this solution on YOUR website! Starting with the original equation:
Let's get all of the terms on one side of the equation:
Then factoring we have:
(5p - 2)(p - 4) = 0
Solving each factor individually, we have:
5p - 2 = 0 gives p = 2/5
p - 4 = 0 gives p = 4
Solution: p = 2/5 or p = 4
Let's check the answers:
For p = 2/5 we have:
5 (4/25) = -8 + (44/5)
20/25 = -40/5 + 44/5 (need a common denominator in order to add the fraction)
20/25 = 4/5
4/5 = 4/5 (reducing the fraction on the left side of the equation)
So, p = 2/5 checks out
For p = 4 we have:
5 * 16 = -8 + 88
80 = 80
So, p = 4 checks out
