3/(v-4)-7/(v+1)=27/(v^2-3v-4)

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Solution for 3/(v-4)-7/(v+1)=27/(v^2-3v-4) equation: 


D( v )

v-4 = 0

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

v+1 = 0

v-4 = 0

v-4 = 0

v-4 = 0 // + 4

v = 4

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

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

v^2-3*v-4 = 0

v^2-3*v-4 = 0

DELTA = (-3)^2-(-4*1*4)

DELTA = 25

DELTA > 0

v = (25^(1/2)+3)/(1*2) or v = (3-25^(1/2))/(1*2)

v = 4 or v = -1

v+1 = 0

v+1 = 0

v+1 = 0 // - 1

v = -1

v in (-oo:-1) U (-1:4) U (4:+oo)

3/(v-4)-(7/(v+1)) = 27/(v^2-(3*v)-4) // - 27/(v^2-(3*v)-4)

3/(v-4)-(7/(v+1))-(27/(v^2-(3*v)-4)) = 0

3/(v-4)-7*(v+1)^-1-27*(v^2-3*v-4)^-1 = 0

3/(v-4)-7/(v+1)-27/(v^2-3*v-4) = 0

v^2-3*v-4 = 0

v^2-3*v-4 = 0

v^2-3*v-4 = 0

DELTA = (-3)^2-(-4*1*4)

DELTA = 25

DELTA > 0

v = (25^(1/2)+3)/(1*2) or v = (3-25^(1/2))/(1*2)

v = 4 or v = -1

(v+1)*(v-4) = 0

3/(v-4)-7/(v+1)-27/((v+1)*(v-4)) = 0

(3*(v+1))/((v-4)*(v+1))+(-7*(v-4))/((v-4)*(v+1))-27/((v-4)*(v+1)) = 0

3*(v+1)-7*(v-4)-27 = 0

31-4*v-27 = 0

4-4*v = 0

(4-4*v)/((v-4)*(v+1)) = 0

(4-4*v)/((v-4)*(v+1)) = 0 // * (v-4)*(v+1)

4-4*v = 0

4-4*v = 0 // - 4

-4*v = -4 // : -4

v = -4/(-4)

v = 1

v = 1

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