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-8n+4n(1+5n)=6n-14
We move all terms to the left:
-8n+4n(1+5n)-(6n-14)=0
We add all the numbers together, and all the variables
-8n+4n(5n+1)-(6n-14)=0
We multiply parentheses
20n^2-8n+4n-(6n-14)=0
We get rid of parentheses
20n^2-8n+4n-6n+14=0
We add all the numbers together, and all the variables
20n^2-10n+14=0
a = 20; b = -10; c = +14;
Δ = b2-4ac
Δ = -102-4·20·14
Δ = -1020
Delta is less than zero, so there is no solution for the equation
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