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

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


D( v )

v-4 = 0

v-2 = 0

v-4 = 0

v-4 = 0

v-4 = 0 // + 4

v = 4

v-2 = 0

v-2 = 0

v-2 = 0 // + 2

v = 2

v in (-oo:2) U (2:4) U (4:+oo)

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

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

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

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

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

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

4*v^2-35*v+70 = 0

4*v^2-35*v+70 = 0

4*v^2-35*v+70 = 0

DELTA = (-35)^2-(4*4*70)

DELTA = 105

DELTA > 0

v = (105^(1/2)+35)/(2*4) or v = (35-105^(1/2))/(2*4)

v = (105^(1/2)+35)/8 or v = (35-105^(1/2))/8

(v-((35-105^(1/2))/8))*(v-((105^(1/2)+35)/8)) = 0

((v-((35-105^(1/2))/8))*(v-((105^(1/2)+35)/8)))/((v-4)*(v-2)) = 0

((v-((35-105^(1/2))/8))*(v-((105^(1/2)+35)/8)))/((v-4)*(v-2)) = 0 // * (v-4)*(v-2)

(v-((35-105^(1/2))/8))*(v-((105^(1/2)+35)/8)) = 0

( v-((105^(1/2)+35)/8) )

v-((105^(1/2)+35)/8) = 0 // + (105^(1/2)+35)/8

v = (105^(1/2)+35)/8

( v-((35-105^(1/2))/8) )

v-((35-105^(1/2))/8) = 0 // + (35-105^(1/2))/8

v = (35-105^(1/2))/8

v in { (105^(1/2)+35)/8, (35-105^(1/2))/8 }

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