3/2p-14=p+13

Question

3/2p-14=p+13

 

Answer 1

Get all of the P's on one side and everything else on the other (3/2)p - 14 = p + 13 + 14 + 14 (3/2)p = p + 27 -p -p Side work: (3/2)p - p = (3/2)p - (2/2)p = (1/2)p (1/2)p = 27 In order to get rid of a fraction muliplied by your varriable, multiply the fractions reciprocal (2/1)x(1/2)p = 27x(2/1) p = 54

Answer 2

3/2p - 14 = p+13

multiply by 2p to eliminate the fraction

3 - 26p = 2p^2 + 26p

2p^2 +42p - 3 = 0

use the quadratic formula

p = -42/4 + or - (1/4)sqr(42^2 + 24) = -10 1/2 + or - (1/4)sqr1788 = -10 1/2 + or - 42.3 = -52.8 or 31.8

but you might get different answers depending on whether that first term

is (3/2)p, 3/(2p) or 3/(2p-14)

As written, best interpretation is 3/2p which leads to p = 31.8 or -52.8

but if you use (3/2)p then p = 54

if you use 3/(2p-14) you get another answer