(2v^2-2v-12)/(v^2+4v-21)

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Solution for (2v^2-2v-12)/(v^2+4v-21) equation: 


D( v )

v^2+4*v-21 = 0

v^2+4*v-21 = 0

v^2+4*v-21 = 0

v^2+4*v-21 = 0

DELTA = 4^2-(-21*1*4)

DELTA = 100

DELTA > 0

v = (100^(1/2)-4)/(1*2) or v = (-100^(1/2)-4)/(1*2)

v = 3 or v = -7

v in (-oo:-7) U (-7:3) U (3:+oo)

(2*v^2-(2*v)-12)/(v^2+4*v-21) = 0

(2*v^2-2*v-12)/(v^2+4*v-21) = 0

2*v^2-2*v-12 = 0

2*(v^2-v-6) = 0

v^2-v-6 = 0

DELTA = (-1)^2-(-6*1*4)

DELTA = 25

DELTA > 0

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

v = 3 or v = -2

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

v^2+4*v-21 = 0

v^2+4*v-21 = 0

DELTA = 4^2-(-21*1*4)

DELTA = 100

DELTA > 0

v = (100^(1/2)-4)/(1*2) or v = (-100^(1/2)-4)/(1*2)

v = 3 or v = -7

(v+7)*(v-3) = 0

(2*(v+2)*(v-3))/((v+7)*(v-3)) = 0

( v+2 )

v+2 = 0 // - 2

v = -2

( v-3 )

v-3 = 0 // + 3

v = 3

v in { 3} 

v = -2

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