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2p+12=14p+84/p+2
We move all terms to the left:
2p+12-(14p+84/p+2)=0
Domain of the equation: p+2)!=0We get rid of parentheses
p∈R
2p-14p-84/p-2+12=0
We multiply all the terms by the denominator
2p*p-14p*p-2*p+12*p-84=0
We add all the numbers together, and all the variables
10p+2p*p-14p*p-84=0
Wy multiply elements
2p^2-14p^2+10p-84=0
We add all the numbers together, and all the variables
-12p^2+10p-84=0
a = -12; b = 10; c = -84;
Δ = b2-4ac
Δ = 102-4·(-12)·(-84)
Δ = -3932
Delta is less than zero, so there is no solution for the equation
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