16^3/2r-12r^2/2r

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Solution for 16^3/2r-12r^2/2r equation:


r in (-oo:+oo)

((16^3)/2)*r-(r*((12*r^2)/2)) = 0

((16^3)/2)*r-6*r^3 = 0

2048*r-6*r^3 = 0

2*r*(1024-3*r^2) = 0

-3*r^2 = -1024 // : -3

r^2 = 1024/3

r^2 = 1024/3 // ^ 1/2

abs(r) = (1024/3)^(1/2)

r = (1024/3)^(1/2) or r = -(1024/3)^(1/2)

2*r = 0

2*r = 0 // : 2

r = 0

r in { (1024/3)^(1/2), -(1024/3)^(1/2), 0 }

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