3b^0.5(2b^0.5+5b^3/2)

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Solution for 3b^0.5(2b^0.5+5b^3/2) equation:


D( b )

b < 0

b < 0

b in <0:+oo)

3*b^0.5*((5*b^3)/2+2*b^0.5) = 0

3*b^0.5*(5/2*b^3+2*b^0.5) = 0

5/2*b^3+2*b^0.5 = 0

b^0.5*(5/2*b^2.5+2) = 0

5/2*b^2.5 = -2 // : 5/2

b^2.5 = -4/5

b^2 = (-4/5)^(1/0.5) // ^ 1/2

abs(b) = 4/5

b = 4/5 or b = -4/5

b^0.5*(b-4/5)*(b+4/5) = 0

3*b^0.5*b^0.5*(b-4/5)*(b+4/5) = 0

( 3*b^0.5 )

3*b^0.5 = 0 // : 3

b^0.5 = 0

b = 0

( b+4/5 )

b+4/5 = 0 // - 4/5

b = -4/5

( b-4/5 )

b-4/5 = 0 // + 4/5

b = 4/5

( b^0.5 )

1*b^0.5 = 0 // : 1

b^0.5 = 0

b = 0

b in { -4/5}

b in { 0, 4/5, 0 }

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