x+8/(x-4)(7x+5)

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Solution for x+8/(x-4)(7x+5) equation:


D( x )

x-4 = 0

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

x in (-oo:4) U (4:+oo)

(8/(x-4))*(7*x+5)+x = 0

(8*(7*x+5))/(x-4)+x = 0

(8*(7*x+5))/(x-4)+(x*(x-4))/(x-4) = 0

8*(7*x+5)+x*(x-4) = 0

x^2+52*x+40 = 0

x^2+52*x+40 = 0

x^2+52*x+40 = 0

DELTA = 52^2-(1*4*40)

DELTA = 2544

DELTA > 0

x = (2544^(1/2)-52)/(1*2) or x = (-2544^(1/2)-52)/(1*2)

x = (4*159^(1/2)-52)/2 or x = (-4*159^(1/2)-52)/2

(x-((-4*159^(1/2)-52)/2))*(x-((4*159^(1/2)-52)/2)) = 0

((x-((-4*159^(1/2)-52)/2))*(x-((4*159^(1/2)-52)/2)))/(x-4) = 0

((x-((-4*159^(1/2)-52)/2))*(x-((4*159^(1/2)-52)/2)))/(x-4) = 0 // * x-4

(x-((-4*159^(1/2)-52)/2))*(x-((4*159^(1/2)-52)/2)) = 0

( x-((-4*159^(1/2)-52)/2) )

x-((-4*159^(1/2)-52)/2) = 0 // + (-4*159^(1/2)-52)/2

x = (-4*159^(1/2)-52)/2

( x-((4*159^(1/2)-52)/2) )

x-((4*159^(1/2)-52)/2) = 0 // + (4*159^(1/2)-52)/2

x = (4*159^(1/2)-52)/2

x in { (-4*159^(1/2)-52)/2, (4*159^(1/2)-52)/2 }

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