(3/(3b+4))=(2(b-4))

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Solution for (3/(3b+4))=(2(b-4)) equation: 


D( b )

3*b+4 = 0

3*b+4 = 0

3*b+4 = 0

3*b+4 = 0 // - 4

3*b = -4 // : 3

b = -4/3

b in (-oo:-4/3) U (-4/3:+oo)

3/(3*b+4) = 2*(b-4) // - 2*(b-4)

3/(3*b+4)-(2*(b-4)) = 0

3/(3*b+4)-2*(b-4) = 0

3/(3*b+4)+(-2*(b-4)*(3*b+4))/(3*b+4) = 0

3-2*(b-4)*(3*b+4) = 0

16*b-6*b^2+35 = 0

16*b-6*b^2+35 = 0

16*b-6*b^2+35 = 0

DELTA = 16^2-(-6*4*35)

DELTA = 1096

DELTA > 0

b = (1096^(1/2)-16)/(-6*2) or b = (-1096^(1/2)-16)/(-6*2)

b = (2*274^(1/2)-16)/(-12) or b = (-2*274^(1/2)-16)/(-12)

(b-((2*274^(1/2)-16)/(-12)))*(b-((-2*274^(1/2)-16)/(-12))) = 0

((b-((2*274^(1/2)-16)/(-12)))*(b-((-2*274^(1/2)-16)/(-12))))/(3*b+4) = 0

((b-((2*274^(1/2)-16)/(-12)))*(b-((-2*274^(1/2)-16)/(-12))))/(3*b+4) = 0 // * 3*b+4

(b-((2*274^(1/2)-16)/(-12)))*(b-((-2*274^(1/2)-16)/(-12))) = 0

( b-((-2*274^(1/2)-16)/(-12)) )

b-((-2*274^(1/2)-16)/(-12)) = 0 // + (-2*274^(1/2)-16)/(-12)

b = (-2*274^(1/2)-16)/(-12)

( b-((2*274^(1/2)-16)/(-12)) )

b-((2*274^(1/2)-16)/(-12)) = 0 // + (2*274^(1/2)-16)/(-12)

b = (2*274^(1/2)-16)/(-12)

b in { (-2*274^(1/2)-16)/(-12), (2*274^(1/2)-16)/(-12) }

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