1/2*(n+5)*((n+5)-9)=81

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Solution for 1/2*(n+5)*((n+5)-9)=81 equation: 


n in (-oo:+oo)

(1/2)*(n+5)*(n-9+5) = 81 // - 81

(1/2)*(n+5)*(n-9+5)-81 = 0

1/2*(n+5)*(n-4)-81 = 0

1/2*(n+5)*(n-4)-81 = 0

1/2*n^2+1/2*n-91 = 0

1/2*n^2+1/2*n-91 = 0

1/2*n^2+1/2*n-91 = 0

DELTA = (1/2)^2-(-91*1/2*4)

DELTA = 729/4

DELTA > 0

n = ((729/4)^(1/2)-1/2)/(1/2*2) or n = (-(729/4)^(1/2)-1/2)/(1/2*2)

n = 13 or n = -14

(n+14)*(n-13) = 0

(n+14)*(n-13) = 0

( n+14 )

n+14 = 0 // - 14

n = -14

( n-13 )

n-13 = 0 // + 13

n = 13

n in { -14, 13 }

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