(2x+4)/(2)-(3x)/(x-4)=0

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Solution for (2x+4)/(2)-(3x)/(x-4)=0 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)

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

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

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

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

(2*x+4)*(x-4)-3*2*x = 0

2*x^2-10*x-16 = 0

2*x^2-10*x-16 = 0

2*(x^2-5*x-8) = 0

x^2-5*x-8 = 0

DELTA = (-5)^2-(-8*1*4)

DELTA = 57

DELTA > 0

x = (57^(1/2)+5)/(1*2) or x = (5-57^(1/2))/(1*2)

x = (57^(1/2)+5)/2 or x = (5-57^(1/2))/2

2*(x-((5-57^(1/2))/2))*(x-((57^(1/2)+5)/2)) = 0

(2*(x-((5-57^(1/2))/2))*(x-((57^(1/2)+5)/2)))/(2*(x-4)) = 0

(2*(x-((5-57^(1/2))/2))*(x-((57^(1/2)+5)/2)))/(2*(x-4)) = 0 // * 2*(x-4)

2*(x-((5-57^(1/2))/2))*(x-((57^(1/2)+5)/2)) = 0

( x-((5-57^(1/2))/2) )

x-((5-57^(1/2))/2) = 0 // + (5-57^(1/2))/2

x = (5-57^(1/2))/2

( x-((57^(1/2)+5)/2) )

x-((57^(1/2)+5)/2) = 0 // + (57^(1/2)+5)/2

x = (57^(1/2)+5)/2

x in { (5-57^(1/2))/2, (57^(1/2)+5)/2 }

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