y=-4/3x^2-8x

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Solution for y=-4/3x^2-8x equation: 


x in (-oo:+oo)

y = (-4/3)*x^2-(8*x) // - (-4/3)*x^2-(8*x)

8*x-((-4/3)*x^2)+y = 0

(4/3)*x^2+8*x+y = 0

4/3*x^2+8*x+y = 0

DELTA = 8^2-(4/3*4*y)

DELTA = 64-16/3*y

64-16/3*y = 0

64-16/3*y = 0 // - 64

-16/3*y = -64 // : -16/3

y = -64/(-16/3)

y = 12

DELTA = 0  <=>  t_1 = 12

x = -8/(4/3*2) i y = 12

x = -3 i y = 12

( x = ((64-16/3*y)^(1/2)-8)/(4/3*2) or x = (-(64-16/3*y)^(1/2)-8)/(4/3*2) ) i y > 12

( x = 3/8*((64-16/3*y)^(1/2)-8) or x = -3/8*((64-16/3*y)^(1/2)+8) ) i y > 12

y-12 > 0

y-12 > 0 // + 12

y > 12

x in { -3, 3/8*((64-16/3*y)^(1/2)-8), -3/8*((64-16/3*y)^(1/2)+8) }

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