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n in (-oo:+oo)
n*((50*(n-1)+2575+2575)/2) = 846515 // - 846515
n*((50*(n-1)+2575+2575)/2)-846515 = 0
(n*(50*(n-1)+2575+2575))/2-846515 = 0
(n*(50*(n-1)+2575+2575))/2+(-846515*2)/2 = 0
n*(50*(n-1)+2575+2575)-846515*2 = 0
50*n^2+5100*n-1693030 = 0
50*n^2+5100*n-1693030 = 0
10*(5*n^2+510*n-169303) = 0
5*n^2+510*n-169303 = 0
DELTA = 510^2-(-169303*4*5)
DELTA = 3646160
DELTA > 0
n = (3646160^(1/2)-510)/(2*5) or n = (-3646160^(1/2)-510)/(2*5)
n = (4*227885^(1/2)-510)/10 or n = (-4*227885^(1/2)-510)/10
10*(n-((-4*227885^(1/2)-510)/10))*(n-((4*227885^(1/2)-510)/10)) = 0
(10*(n-((-4*227885^(1/2)-510)/10))*(n-((4*227885^(1/2)-510)/10)))/2 = 0
(10*(n-((-4*227885^(1/2)-510)/10))*(n-((4*227885^(1/2)-510)/10)))/2 = 0 // * 2
10*(n-((-4*227885^(1/2)-510)/10))*(n-((4*227885^(1/2)-510)/10)) = 0
( n-((-4*227885^(1/2)-510)/10) )
n-((-4*227885^(1/2)-510)/10) = 0 // + (-4*227885^(1/2)-510)/10
n = (-4*227885^(1/2)-510)/10
( n-((4*227885^(1/2)-510)/10) )
n-((4*227885^(1/2)-510)/10) = 0 // + (4*227885^(1/2)-510)/10
n = (4*227885^(1/2)-510)/10
n in { (-4*227885^(1/2)-510)/10, (4*227885^(1/2)-510)/10 }
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