4/(3(x+2))-2/3x=1/(x+2)

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Solution for 4/(3(x+2))-2/3x=1/(x+2) equation: 


D( x )

x+2 = 0

3*(x+2) = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

3*(x+2) = 0

3*(x+2) = 0

x+2 = 0 // - 2

x = -2

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

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

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

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

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

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

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

1-2*x^2-4*x = 0

1-2*x^2-4*x = 0

1-2*x^2-4*x = 0

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

DELTA = 24

DELTA > 0

x = (24^(1/2)+4)/(-2*2) or x = (4-24^(1/2))/(-2*2)

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

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

((x-((2*6^(1/2)+4)/(-4)))*(x-((4-2*6^(1/2))/(-4))))/(3*(x+2)) = 0

((x-((2*6^(1/2)+4)/(-4)))*(x-((4-2*6^(1/2))/(-4))))/(3*(x+2)) = 0 // * 3*(x+2)

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

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

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

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

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

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

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

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

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