y=(4-3x)(2-x/3)

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Solution for y=(4-3x)(2-x/3) equation:


x in (-oo:+oo)

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

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

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

y-1*(4-3*x)*(2-1/3*x) = 0

y-1*(4-3*x)*(2-1/3*x) = 0

22/3*x-x^2+y-8 = 0

22/3*x-x^2+y-8 = 0

22/3*x-x^2+y-8 = 0

DELTA = (22/3)^2-(-1*4*(y-8))

DELTA = 4*(y-8)+484/9

4*(y-8)+484/9 = 0

(4*9*(y-8))/9+484/9 = 0

4*9*(y-8)+484 = 0

36*y+196 = 0

(36*y+196)/9 = 0

(36*y+196)/9 = 0 // * 9

36*y+196 = 0

36*y+196 = 0 // - 196

36*y = -196 // : 36

y = -196/36

y = -49/9

DELTA = 0 <=> t_3 = -49/9

x = -22/3/(-1*2) i y = -49/9

x = 11/3 i y = -49/9

( x = ((4*(y-8)+484/9)^(1/2)-22/3)/(-1*2) or x = (-(4*(y-8)+484/9)^(1/2)-22/3)/(-1*2) ) i y > -49/9

( x = ((4*(y-8)+484/9)^(1/2)-22/3)/(-2) or x = ((4*(y-8)+484/9)^(1/2)+22/3)/2 ) i y > -49/9

y+49/9 > 0

y+49/9 > 0 // - 49/9

y > -49/9

x in { 11/3, ((4*(y-8)+484/9)^(1/2)-22/3)/(-2), ((4*(y-8)+484/9)^(1/2)+22/3)/2 }

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