0.1/12*(x*1200-100*x*(x-1)/2)=47.5

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Solution for 0.1/12*(x*1200-100*x*(x-1)/2)=47.5 equation: 


x in (-oo:+oo)

(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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