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n^2+5n+7=-7
We move all terms to the left:
n^2+5n+7-(-7)=0
We add all the numbers together, and all the variables
n^2+5n+14=0
a = 1; b = 5; c = +14;
Δ = b2-4ac
Δ = 52-4·1·14
Δ = -31
Delta is less than zero, so there is no solution for the equation
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