(x/(x+2))+(20/(x+8))=2

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Solution for (x/(x+2))+(20/(x+8))=2 equation: 


D( x )

x+2 = 0

x+8 = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

x+8 = 0

x+8 = 0

x+8 = 0 // - 8

x = -8

x in (-oo:-8) U (-8:-2) U (-2:+oo)

x/(x+2)+20/(x+8) = 2 // - 2

x/(x+2)+20/(x+8)-2 = 0

(x*(x+8))/((x+2)*(x+8))+(20*(x+2))/((x+2)*(x+8))+(-2*(x+2)*(x+8))/((x+2)*(x+8)) = 0

x*(x+8)+20*(x+2)-2*(x+2)*(x+8) = 0

x^2-2*x^2+28*x-20*x-32+40 = 0

8*x-x^2+8 = 0

8*x-x^2+8 = 0

8*x-x^2+8 = 0

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

DELTA = 96

DELTA > 0

x = (96^(1/2)-8)/(-1*2) or x = (-96^(1/2)-8)/(-1*2)

x = (4*6^(1/2)-8)/(-2) or x = (-4*6^(1/2)-8)/(-2)

(x-((4*6^(1/2)-8)/(-2)))*(x-((-4*6^(1/2)-8)/(-2))) = 0

((x-((4*6^(1/2)-8)/(-2)))*(x-((-4*6^(1/2)-8)/(-2))))/((x+2)*(x+8)) = 0

((x-((4*6^(1/2)-8)/(-2)))*(x-((-4*6^(1/2)-8)/(-2))))/((x+2)*(x+8)) = 0 // * (x+2)*(x+8)

(x-((4*6^(1/2)-8)/(-2)))*(x-((-4*6^(1/2)-8)/(-2))) = 0

( x-((-4*6^(1/2)-8)/(-2)) )

x-((-4*6^(1/2)-8)/(-2)) = 0 // + (-4*6^(1/2)-8)/(-2)

x = (-4*6^(1/2)-8)/(-2)

( x-((4*6^(1/2)-8)/(-2)) )

x-((4*6^(1/2)-8)/(-2)) = 0 // + (4*6^(1/2)-8)/(-2)

x = (4*6^(1/2)-8)/(-2)

x in { (-4*6^(1/2)-8)/(-2), (4*6^(1/2)-8)/(-2) }

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