-3-(2/v-4)=-4/(v-2)(v-4)

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


D( v )

v = 0

v-2 = 0

v = 0

v = 0

v-2 = 0

v-2 = 0

v-2 = 0 // + 2

v = 2

v in (-oo:0) U (0:2) U (2:+oo)

4-(2/v)-3 = (-4/(v-2))*(v-4) // - (-4/(v-2))*(v-4)

4-((-4/(v-2))*(v-4))-(2/v)-3 = 0

4*(v-4)*(v-2)^-1-2*v^-1-3+4 = 0

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

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

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

4*v^2-3*v^2+4*v^2-18*v+6*v-8*v+4 = 0

v^2+4*v^2-12*v-8*v+4 = 0

5*v^2-20*v+4 = 0

5*v^2-20*v+4 = 0

5*v^2-20*v+4 = 0

DELTA = (-20)^2-(4*4*5)

DELTA = 320

DELTA > 0

v = (320^(1/2)+20)/(2*5) or v = (20-320^(1/2))/(2*5)

v = (8*5^(1/2)+20)/10 or v = (20-8*5^(1/2))/10

(v-((20-8*5^(1/2))/10))*(v-((8*5^(1/2)+20)/10)) = 0

((v-((20-8*5^(1/2))/10))*(v-((8*5^(1/2)+20)/10)))/(v*(v-2)) = 0

((v-((20-8*5^(1/2))/10))*(v-((8*5^(1/2)+20)/10)))/(v*(v-2)) = 0 // * v*(v-2)

(v-((20-8*5^(1/2))/10))*(v-((8*5^(1/2)+20)/10)) = 0

( v-((20-8*5^(1/2))/10) )

v-((20-8*5^(1/2))/10) = 0 // + (20-8*5^(1/2))/10

v = (20-8*5^(1/2))/10

( v-((8*5^(1/2)+20)/10) )

v-((8*5^(1/2)+20)/10) = 0 // + (8*5^(1/2)+20)/10

v = (8*5^(1/2)+20)/10

v in { (20-8*5^(1/2))/10, (8*5^(1/2)+20)/10 }

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