(3b^3+50b^2+2b)/10b^2

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Solution for (3b^3+50b^2+2b)/10b^2 equation:


b in (-oo:+oo)

b^2*((3*b^3+50*b^2+2*b)/10) = 0

(b^2*(3*b^3+50*b^2+2*b))/10 = 0

3*b^3+50*b^2+2*b = 0

b*(3*b^2+50*b+2) = 0

3*b^2+50*b+2 = 0

DELTA = 50^2-(2*3*4)

DELTA = 2476

DELTA > 0

b = (2476^(1/2)-50)/(2*3) or b = (-2476^(1/2)-50)/(2*3)

b = (2*619^(1/2)-50)/6 or b = (-2*619^(1/2)-50)/6

b*(b-((-2*619^(1/2)-50)/6))*(b-((2*619^(1/2)-50)/6)) = 0

(b*b^2*(b-((-2*619^(1/2)-50)/6))*(b-((2*619^(1/2)-50)/6)))/10 = 0

( b-((-2*619^(1/2)-50)/6) )

b-((-2*619^(1/2)-50)/6) = 0 // + (-2*619^(1/2)-50)/6

b = (-2*619^(1/2)-50)/6

( b-((2*619^(1/2)-50)/6) )

b-((2*619^(1/2)-50)/6) = 0 // + (2*619^(1/2)-50)/6

b = (2*619^(1/2)-50)/6

( b )

b = 0

( b^2 )

1*b^2 = 0 // : 1

b^2 = 0

b = 0

b in { (-2*619^(1/2)-50)/6, (2*619^(1/2)-50)/6, 0, 0 }

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