x=(2x+7)/(3x-9)

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Solution for x=(2x+7)/(3x-9) equation:


D( x )

3*x-9 = 0

3*x-9 = 0

3*x-9 = 0

3*x-9 = 0 // + 9

3*x = 9 // : 3

x = 9/3

x = 3

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

x = (2*x+7)/(3*x-9) // - (2*x+7)/(3*x-9)

x-((2*x+7)/(3*x-9)) = 0

(-1*(2*x+7))/(3*x-9)+x = 0

(-1*(2*x+7))/(3*x-9)+(x*(3*x-9))/(3*x-9) = 0

x*(3*x-9)-1*(2*x+7) = 0

3*x^2-11*x-7 = 0

3*x^2-11*x-7 = 0

3*x^2-11*x-7 = 0

DELTA = (-11)^2-(-7*3*4)

DELTA = 205

DELTA > 0

x = (205^(1/2)+11)/(2*3) or x = (11-205^(1/2))/(2*3)

x = (205^(1/2)+11)/6 or x = (11-205^(1/2))/6

(x-((11-205^(1/2))/6))*(x-((205^(1/2)+11)/6)) = 0

((x-((11-205^(1/2))/6))*(x-((205^(1/2)+11)/6)))/(3*x-9) = 0

((x-((11-205^(1/2))/6))*(x-((205^(1/2)+11)/6)))/(3*x-9) = 0 // * 3*x-9

(x-((11-205^(1/2))/6))*(x-((205^(1/2)+11)/6)) = 0

( x-((11-205^(1/2))/6) )

x-((11-205^(1/2))/6) = 0 // + (11-205^(1/2))/6

x = (11-205^(1/2))/6

( x-((205^(1/2)+11)/6) )

x-((205^(1/2)+11)/6) = 0 // + (205^(1/2)+11)/6

x = (205^(1/2)+11)/6

x in { (11-205^(1/2))/6, (205^(1/2)+11)/6 }

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