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(0.1/12)*(1200*x-((100*x*(x-1))/2)) = 47.5 // - 47.5
(0.1/12)*(1200*x-((100*x*(x-1))/2))-47.5 = 0
(0.1/12)*(1200*x-50*x*(x-1))-47.5 = 0
0.00833333*(1200*x-50*x*(x-1))-47.5 = 0
0.00833333*(1200*x-50*x*(x-1))-47.5 = 0
10.4166625*x-0.4166665*x^2-47.5 = 0
10.4166625*x-0.4166665*x^2-47.5 = 0
10.4166625*x-0.4166665*x^2-47.5 = 0
DELTA = 10.4166625^2-(-47.5*(-0.4166665)*4)
DELTA = 10.4166625^2-79.166635
DELTA = 29.34022264
DELTA > 0
x = ((10.4166625^2-79.166635)^(1/2)-10.4166625)/(-0.4166665*2) or x = (-(10.4166625^2-79.166635)^(1/2)-10.4166625)/(-0.4166665*2)
x = -1.20000048*((10.4166625^2-79.166635)^(1/2)-10.4166625) or x = 1.20000048*((10.4166625^2-79.166635)^(1/2)+10.4166625)
(x+1.20000048*((10.4166625^2-79.166635)^(1/2)-10.4166625))*(x-1.20000048*((10.4166625^2-79.166635)^(1/2)+10.4166625)) = 0
(x+1.20000048*((10.4166625^2-79.166635)^(1/2)-10.4166625))*(x-1.20000048*((10.4166625^2-79.166635)^(1/2)+10.4166625)) = 0
( x+1.20000048*((10.4166625^2-79.166635)^(1/2)-10.4166625) )
x+1.20000048*((10.4166625^2-79.166635)^(1/2)-10.4166625) = 0 // - 1.20000048*((10.4166625^2-79.166635)^(1/2)-10.4166625)
x = -(1.20000048*((10.4166625^2-79.166635)^(1/2)-10.4166625))
x = -1.20000048*((10.4166625^2-79.166635)^(1/2)-10.4166625)
( x-1.20000048*((10.4166625^2-79.166635)^(1/2)+10.4166625) )
x-1.20000048*((10.4166625^2-79.166635)^(1/2)+10.4166625) = 0 // + -1.20000048*((10.4166625^2-79.166635)^(1/2)+10.4166625)
x = -(-1.20000048*((10.4166625^2-79.166635)^(1/2)+10.4166625))
x = 1.20000048*((10.4166625^2-79.166635)^(1/2)+10.4166625)
x in { -1.20000048*((10.4166625^2-79.166635)^(1/2)-10.4166625), 1.20000048*((10.4166625^2-79.166635)^(1/2)+10.4166625) }
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