(v^2+8v+7)/(6v^2+18v-168)

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Solution for (v^2+8v+7)/(6v^2+18v-168) equation:


D( v )

6*v^2+18*v-168 = 0

6*v^2+18*v-168 = 0

6*v^2+18*v-168 = 0

6*v^2+18*v-168 = 0

DELTA = 18^2-(-168*4*6)

DELTA = 4356

DELTA > 0

v = (4356^(1/2)-18)/(2*6) or v = (-4356^(1/2)-18)/(2*6)

v = 4 or v = -7

v in (-oo:-7) U (-7:4) U (4:+oo)

(v^2+8*v+7)/(6*v^2+18*v-168) = 0

v^2+8*v+7 = 0

v^2+8*v+7 = 0

DELTA = 8^2-(1*4*7)

DELTA = 36

DELTA > 0

v = (36^(1/2)-8)/(1*2) or v = (-36^(1/2)-8)/(1*2)

v = -1 or v = -7

(v+7)*(v+1) = 0

6*v^2+18*v-168 = 0

6*(v^2+3*v-28) = 0

v^2+3*v-28 = 0

DELTA = 3^2-(-28*1*4)

DELTA = 121

DELTA > 0

v = (121^(1/2)-3)/(1*2) or v = (-121^(1/2)-3)/(1*2)

v = 4 or v = -7

6*(v+7)*(v-4) = 0

((v+7)*(v+1))/(6*(v+7)*(v-4)) = 0

( v+1 )

v+1 = 0 // - 1

v = -1

( v+7 )

v+7 = 0 // - 7

v = -7

v in { -7}

v = -1

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