17/(2x+2)+7/(2x-2)=89/(8x-56)+7/(8x+8)

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Solution for 17/(2x+2)+7/(2x-2)=89/(8x-56)+7/(8x+8) equation:


D( x )

2*x-2 = 0

8*x-56 = 0

2*x+2 = 0

8*x+8 = 0

2*x-2 = 0

2*x-2 = 0

2*x-2 = 0 // + 2

2*x = 2 // : 2

x = 2/2

x = 1

8*x-56 = 0

8*x-56 = 0

8*x-56 = 0 // + 56

8*x = 56 // : 8

x = 56/8

x = 7

2*x+2 = 0

2*x+2 = 0

2*x+2 = 0 // - 2

2*x = -2 // : 2

x = -2/2

x = -1

8*x+8 = 0

8*x+8 = 0

8*x+8 = 0 // - 8

8*x = -8 // : 8

x = -8/8

x = -1

x in (-oo:-1) U (-1:1) U (1:7) U (7:+oo)

17/(2*x+2)+7/(2*x-2) = 89/(8*x-56)+7/(8*x+8) // - 89/(8*x-56)+7/(8*x+8)

17/(2*x+2)+7/(2*x-2)-(89/(8*x-56))-(7/(8*x+8)) = 0

17/(2*x+2)+7/(2*x-2)-89*(8*x-56)^-1-7*(8*x+8)^-1 = 0

17/(2*x+2)+7/(2*x-2)-89/(8*x-56)-7/(8*x+8) = 0

(17*(2*x-2)*(8*x-56)*(8*x+8))/((2*x+2)*(2*x-2)*(8*x-56)*(8*x+8))+(7*(2*x+2)*(8*x-56)*(8*x+8))/((2*x+2)*(2*x-2)*(8*x-56)*(8*x+8))+(-89*(2*x+2)*(2*x-2)*(8*x+8))/((2*x+2)*(2*x-2)*(8*x-56)*(8*x+8))+(-7*(2*x+2)*(2*x-2)*(8*x-56))/((2*x+2)*(2*x-2)*(8*x-56)*(8*x+8)) = 0

17*(2*x-2)*(8*x-56)*(8*x+8)+7*(2*x+2)*(8*x-56)*(8*x+8)-89*(2*x+2)*(2*x-2)*(8*x+8)-7*(2*x+2)*(2*x-2)*(8*x-56) = 0

3072*x^3-2848*x^3-224*x^3-19712*x^2-2848*x^2+1568*x^2-13824*x+2848*x+224*x-1568+2848+8960 = 0

224*x^3-224*x^3-22560*x^2+1568*x^2-10976*x+224*x-1568+11808 = 0

10240-20992*x^2-10752*x = 0

10240-20992*x^2-10752*x = 0

512*(20-41*x^2-21*x) = 0

20-41*x^2-21*x = 0

DELTA = (-21)^2-(-41*4*20)

DELTA = 3721

DELTA > 0

x = (3721^(1/2)+21)/(-41*2) or x = (21-3721^(1/2))/(-41*2)

x = -1 or x = 20/41

512*(x+1)*(x-20/41) = 0

(512*(x+1)*(x-20/41))/((2*x+2)*(2*x-2)*(8*x-56)*(8*x+8)) = 0

(512*(x+1)*(x-20/41))/((2*x+2)*(2*x-2)*(8*x-56)*(8*x+8)) = 0 // * (2*x+2)*(2*x-2)*(8*x-56)*(8*x+8)

512*(x+1)*(x-20/41) = 0

( x+1 )

x+1 = 0 // - 1

x = -1

( x-20/41 )

x-20/41 = 0 // + 20/41

x = 20/41

x in { -1}

x = 20/41

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