-3n(1+n)-2n=-6(n-2)

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Solution for -3n(1+n)-2n=-6(n-2) equation:



-3n(1+n)-2n=-6(n-2)
We move all terms to the left:
-3n(1+n)-2n-(-6(n-2))=0
We add all the numbers together, and all the variables
-3n(n+1)-2n-(-6(n-2))=0
We add all the numbers together, and all the variables
-2n-3n(n+1)-(-6(n-2))=0
We multiply parentheses
-3n^2-2n-3n-(-6(n-2))=0
We calculate terms in parentheses: -(-6(n-2)), so:
-6(n-2)
We multiply parentheses
-6n+12
Back to the equation:
-(-6n+12)
We add all the numbers together, and all the variables
-3n^2-5n-(-6n+12)=0
We get rid of parentheses
-3n^2-5n+6n-12=0
We add all the numbers together, and all the variables
-3n^2+n-12=0
a = -3; b = 1; c = -12;
Δ = b2-4ac
Δ = 12-4·(-3)·(-12)
Δ = -143
Delta is less than zero, so there is no solution for the equation

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