v=1/3(x-4)(x+3)

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Solution for v=1/3(x-4)(x+3) equation: 


x in (-oo:+oo)

v = (1/3)*(x-4)*(x+3) // - (1/3)*(x-4)*(x+3)

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

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

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

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

v-1/3*x^2+1/3*x+4 = 0

v-1/3*x^2+1/3*x+4 = 0

v-1/3*x^2+1/3*x+4 = 0

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

DELTA = 4/3*(v+4)+1/9

4/3*(v+4)+1/9 = 0

(4/3*9*(v+4))/9+1/9 = 0

4/3*9*(v+4)+1 = 0

12*v+49 = 0

(12*v+49)/9 = 0

(12*v+49)/9 = 0 // * 9

12*v+49 = 0

12*v+49 = 0 // - 49

12*v = -49 // : 12

v = -49/12

DELTA = 0  <=>  t_3 = -49/12

x = -1/3/(-1/3*2) i v = -49/12

x = 1/2 i v = -49/12

( x = ((4/3*(v+4)+1/9)^(1/2)-1/3)/(-1/3*2) or x = (-(4/3*(v+4)+1/9)^(1/2)-1/3)/(-1/3*2) ) i v > -49/12

( x = -3/2*((4/3*(v+4)+1/9)^(1/2)-1/3) or x = 3/2*((4/3*(v+4)+1/9)^(1/2)+1/3) ) i v > -49/12

v-(-49/12) > 0

v+49/12 > 0

v+49/12 > 0 // - 49/12

v > -49/12

x in { 1/2, -3/2*((4/3*(v+4)+1/9)^(1/2)-1/3), 3/2*((4/3*(v+4)+1/9)^(1/2)+1/3) }

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