5/6p+1/3p-1/2=61/2

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Solution for 5/6p+1/3p-1/2=61/2 equation:



5/6p+1/3p-1/2=61/2
We move all terms to the left:
5/6p+1/3p-1/2-(61/2)=0
Domain of the equation: 6p!=0
p!=0/6
p!=0
p∈R
Domain of the equation: 3p!=0
p!=0/3
p!=0
p∈R
We add all the numbers together, and all the variables
5/6p+1/3p-1/2-(+61/2)=0
We get rid of parentheses
5/6p+1/3p-1/2-61/2=0
We calculate fractions
(-3294p^2-1)/72p^2+60p/72p^2+24p/72p^2=0
We multiply all the terms by the denominator
(-3294p^2-1)+60p+24p=0
We add all the numbers together, and all the variables
(-3294p^2-1)+84p=0
We get rid of parentheses
-3294p^2+84p-1=0
a = -3294; b = 84; c = -1;
Δ = b2-4ac
Δ = 842-4·(-3294)·(-1)
Δ = -6120
Delta is less than zero, so there is no solution for the equation

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