((-4)/(x-8))-((2)(x-5))=3

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Solution for ((-4)/(x-8))-((2)(x-5))=3 equation: 


D( x )

x-8 = 0

x-8 = 0

x-8 = 0

x-8 = 0 // + 8

x = 8

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

-4/(x-8)-(2*(x-5)) = 3 // - 3

-4/(x-8)-(2*(x-5))-3 = 0

-4/(x-8)-2*(x-5)-3 = 0

(-2*(x-5)*(x-8))/(x-8)-4/(x-8)+(-3*(x-8))/(x-8) = 0

-2*(x-5)*(x-8)-3*(x-8)-4 = 0

26*x-2*x^2-3*x-84+24 = 0

23*x-2*x^2-60 = 0

23*x-2*x^2-60 = 0

23*x-2*x^2-60 = 0

DELTA = 23^2-(-60*(-2)*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)-23)/(-2*2) or x = (-49^(1/2)-23)/(-2*2)

x = 4 or x = 15/2

(x-4)*(x-15/2) = 0

((x-4)*(x-15/2))/(x-8) = 0

((x-4)*(x-15/2))/(x-8) = 0 // * x-8

(x-4)*(x-15/2) = 0

( x-15/2 )

x-15/2 = 0 // + 15/2

x = 15/2

( x-4 )

x-4 = 0 // + 4

x = 4

x in { 15/2, 4 }

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