P2-12p-49=-103 solve by competing the square

P²-12p-49=-103

add 49 to both sides

p²-12p=-54

take 1/2 of the linear coefient and square it

-12 is the linear coefitnt so - 12/2=-6, (-6) ²=36

add 36 to both sides

p²-12p+36=-18

factor perfect square trinomial

(p-6) ²=-18

square root both sides

no solution because we can't squaer anything and get a negative