-5/2(x-6)=8/(x-6)

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Solution for -5/2(x-6)=8/(x-6) equation: 


D( x )

x-6 = 0

x-6 = 0

x-6 = 0

x-6 = 0 // + 6

x = 6

x in (-oo:6) U (6:+oo)

(-5/2)*(x-6) = 8/(x-6) // - 8/(x-6)

(-5/2)*(x-6)-(8/(x-6)) = 0

(-5/2)*(x-6)-8*(x-6)^-1 = 0

-5/2*(x-6)-8/(x-6) = 0

(-5/2*(x-6)^2)/(x-6)-8/(x-6) = 0

-5/2*(x-6)^2-8 = 0

30*x-5/2*x^2-98 = 0

30*x-5/2*x^2-98 = 0

30*x-5/2*x^2-98 = 0

DELTA = 30^2-(-98*(-5/2)*4)

DELTA = -80

DELTA < 0

1 = 0

1/(x-6) = 0

1/(x-6) = 0 // * x-6

1 = 0

x belongs to the empty set

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