8-2x=30/(6-2x)

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Solution for 8-2x=30/(6-2x) equation: 


D( x )

6-(2*x) = 0

6-(2*x) = 0

6-(2*x) = 0

6-2*x = 0

6-2*x = 0 // - 6

-2*x = -6 // : -2

x = -6/(-2)

x = 3

x in (-oo:3) U (3:+oo)

8-(2*x) = 30/(6-(2*x)) // - 30/(6-(2*x))

8-(30/(6-(2*x)))-(2*x) = 0

8-30*(6-2*x)^-1-2*x = 0

8-30/(6-2*x)-2*x = 0

(-2*x*(6-2*x))/(6-2*x)-30/(6-2*x)+(8*(6-2*x))/(6-2*x) = 0

8*(6-2*x)-2*x*(6-2*x)-30 = 0

4*x^2-12*x-16*x-30+48 = 0

4*x^2-28*x+18 = 0

4*x^2-28*x+18 = 0

2*(2*x^2-14*x+9) = 0

2*x^2-14*x+9 = 0

DELTA = (-14)^2-(2*4*9)

DELTA = 124

DELTA > 0

x = (124^(1/2)+14)/(2*2) or x = (14-124^(1/2))/(2*2)

x = (2*31^(1/2)+14)/4 or x = (14-2*31^(1/2))/4

2*(x-((14-2*31^(1/2))/4))*(x-((2*31^(1/2)+14)/4)) = 0

(2*(x-((14-2*31^(1/2))/4))*(x-((2*31^(1/2)+14)/4)))/(6-2*x) = 0

(2*(x-((14-2*31^(1/2))/4))*(x-((2*31^(1/2)+14)/4)))/(6-2*x) = 0 // * 6-2*x

2*(x-((14-2*31^(1/2))/4))*(x-((2*31^(1/2)+14)/4)) = 0

( x-((14-2*31^(1/2))/4) )

x-((14-2*31^(1/2))/4) = 0 // + (14-2*31^(1/2))/4

x = (14-2*31^(1/2))/4

( x-((2*31^(1/2)+14)/4) )

x-((2*31^(1/2)+14)/4) = 0 // + (2*31^(1/2)+14)/4

x = (2*31^(1/2)+14)/4

x in { (14-2*31^(1/2))/4, (2*31^(1/2)+14)/4 }

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