SOLUTION: what is 5p^2=-8+22p

Question 419382: what is 5p^2=-8+22p
Answer by duckness73(47) (Show Source): 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
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