0.5=(1800*(243.84^3))/((10*10^6)*48*((b*(9.525^3)-(b-1.27)*(8.255^3))/12))

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Solution for 0.5=(1800*(243.84^3))/((10*10^6)*48*((b*(9.525^3)-(b-1.27)*(8.255^3))/12)) equation: 


D( b )

10*48*10^6*((9.525^3*b-(8.255^3*(b-1.27)))/12) = 0

10*48*10^6*((9.525^3*b-(8.255^3*(b-1.27)))/12) = 0

10*48*10^6*((9.525^3*b-(8.255^3*(b-1.27)))/12) = 0

(480000000*(9.525^3*b-1*8.255^3*(b-1.27)))/12 = 0

9.525^3*b-1*8.255^3*(b-1.27) = 0

9.525^3*b-1*8.255^3*(b-1.27) = 0

(9.525^3-8.255^3)*b+1.27*8.255^3 = 0

(9.525^3-8.255^3)*b+1.27*8.255^3 = 0

(480000000*((9.525^3-8.255^3)*b+1.27*8.255^3))/12 = 0

( (9.525^3-8.255^3)*b+1.27*8.255^3 )

(9.525^3-8.255^3)*b+1.27*8.255^3 = 0 // - 1.27*8.255^3

(9.525^3-8.255^3)*b = -(1.27*8.255^3) // : 9.525^3-8.255^3

b = (-(1.27*8.255^3))/(9.525^3-8.255^3)

b = (-1.27*8.255^3)/(9.525^3-8.255^3)

( 480000000 )

480000000 = 0

b belongs to the empty set

b in (-oo:(-1.27*8.255^3)/(9.525^3-8.255^3)) U ((-1.27*8.255^3)/(9.525^3-8.255^3):+oo)

0.5 = (1800*243.84^3)/(10*48*10^6*((9.525^3*b-(8.255^3*(b-1.27)))/12)) // - (1800*243.84^3)/(10*48*10^6*((9.525^3*b-(8.255^3*(b-1.27)))/12))

0.5-((1800*243.84^3)/(10*48*10^6*((9.525^3*b-(8.255^3*(b-1.27)))/12))) = 0

0.5-45*10^-6*243.84^3*(9.525^3*b-(8.255^3*(b-1.27)))^-1 = 0

(-9/200000*243.84^3)/(9.525^3*b-1*8.255^3*(b-1.27))+0.5 = 0

9.525^3*b-1*8.255^3*(b-1.27) = 0

9.525^3*b-1*8.255^3*(b-1.27) = 0

9.525^3*b-1*8.255^3*(b-1.27) = 0

(9.525^3-8.255^3)*b+1.27*8.255^3 = 0

(9.525^3-8.255^3)*b+1.27*8.255^3 = 0

(-9/200000*243.84^3)/((9.525^3-8.255^3)*b+1.27*8.255^3)+0.5 = 0

(-9/200000*243.84^3)/((9.525^3-8.255^3)*b+1.27*8.255^3)+(0.5*((9.525^3-8.255^3)*b+1.27*8.255^3))/((9.525^3-8.255^3)*b+1.27*8.255^3) = 0

0.5*((9.525^3-8.255^3)*b+1.27*8.255^3)-9/200000*243.84^3 = 0

0.5*(9.525^3-8.255^3)*b+0.635*8.255^3-9/200000*243.84^3 = 0

(0.5*(9.525^3-8.255^3)*b+0.635*8.255^3-9/200000*243.84^3)/((9.525^3-8.255^3)*b+1.27*8.255^3) = 0

(0.5*(9.525^3-8.255^3)*b+0.635*8.255^3-9/200000*243.84^3)/((9.525^3-8.255^3)*b+1.27*8.255^3) = 0 // * (9.525^3-8.255^3)*b+1.27*8.255^3

0.5*(9.525^3-8.255^3)*b+0.635*8.255^3-9/200000*243.84^3 = 0

0.5*(9.525^3-8.255^3)*b+0.635*8.255^3-9/200000*243.84^3 = 0 // - 0.635*8.255^3-9/200000*243.84^3

0.5*(9.525^3-8.255^3)*b = -(0.635*8.255^3-9/200000*243.84^3) // : 0.5*(9.525^3-8.255^3)

b = (-(0.635*8.255^3-9/200000*243.84^3))/(0.5*(9.525^3-8.255^3))

b = -2*(9.525^3-8.255^3)^-1*(0.635*8.255^3-9/200000*243.84^3)

b = -2*(9.525^3-8.255^3)^-1*(0.635*8.255^3-9/200000*243.84^3)

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