(-7/(2x+8))+2=-2/(x+4)

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Solution for (-7/(2x+8))+2=-2/(x+4) equation: 


D( x )

x+4 = 0

2*x+8 = 0

x+4 = 0

x+4 = 0

x+4 = 0 // - 4

x = -4

2*x+8 = 0

2*x+8 = 0

2*x+8 = 0 // - 8

2*x = -8 // : 2

x = -8/2

x = -4

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

2-7/(2*x+8) = -2/(x+4) // + -2/(x+4)

2-7/(2*x+8)-(-2/(x+4)) = 0

2*(x+4)^-1-7/(2*x+8)+2 = 0

2/(x+4)-7/(2*x+8)+2 = 0

(-7*(x+4))/((2*x+8)*(x+4))+(2*(2*x+8))/((2*x+8)*(x+4))+(2*(2*x+8)*(x+4))/((2*x+8)*(x+4)) = 0

2*(2*x+8)-7*(x+4)+2*(2*x+8)*(x+4) = 0

4*x^2-3*x+32*x-12+64 = 0

4*x^2+29*x+52 = 0

4*x^2+29*x+52 = 0

4*x^2+29*x+52 = 0

DELTA = 29^2-(4*4*52)

DELTA = 9

DELTA > 0

x = (9^(1/2)-29)/(2*4) or x = (-9^(1/2)-29)/(2*4)

x = -13/4 or x = -4

(x+4)*(x+13/4) = 0

((x+4)*(x+13/4))/((2*x+8)*(x+4)) = 0

((x+4)*(x+13/4))/((2*x+8)*(x+4)) = 0 // * (2*x+8)*(x+4)

(x+4)*(x+13/4) = 0

( x+13/4 )

x+13/4 = 0 // - 13/4

x = -13/4

( x+4 )

x+4 = 0 // - 4

x = -4

x in { -4} 

x = -13/4

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