12(n-2) (n-3) = 5(n+1)n
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12(n -2) (n-3) = 5(n+1)n
12n-24n -3=5n+5n
12n-24n+5n-5n=3
-12n=3
n=-12/3
n= -4
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Step-by-step explanation:
12(n-2)(n-3)= 5(n+1)n
(12n-24)(n-3) =(5n+5)n
(12n^2-36n-24n+72)=5n^2+5n
Taking RHS TO THE LHS WE GET
12n^2-5n^2-36n-5n-24n+72=0
7n^2-65n+72=0
now compare the eq with ax^2+bx+c
we get a=7 , b=-65 and c= 72
putting these value in the quadratic formula which is
-(b)+-√b^2-4ac/2a
=-(-65) +-√(-65)^2-4×7×72/2×7
=65+-√4225-2016/14
=65+-√2209/14
=65+-47/14
taking +ve part we get
65+47/14=112/14= 8
taking -ve part
65-47/14= 18/14 or 9/7
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