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

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


D( x )

x-2 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x in (-oo:2) U (2:+oo)

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

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

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

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

(x+4)*(x-2)-1*4*x = 0

x^2-2*x-8 = 0

x^2-2*x-8 = 0

x^2-2*x-8 = 0

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

DELTA = 36

DELTA > 0

x = (36^(1/2)+2)/(1*2) or x = (2-36^(1/2))/(1*2)

x = 4 or x = -2

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

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

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

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

( x+2 )

x+2 = 0 // - 2

x = -2

( x-4 )

x-4 = 0 // + 4

x = 4

x in { -2, 4 }

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