(X^2)/(2x-6)=(9)/(6x-18)

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Solution for (X^2)/(2x-6)=(9)/(6x-18) equation:


D( x )

6*x-18 = 0

2*x-6 = 0

6*x-18 = 0

6*x-18 = 0

6*x-18 = 0 // + 18

6*x = 18 // : 6

x = 18/6

x = 3

2*x-6 = 0

2*x-6 = 0

2*x-6 = 0 // + 6

2*x = 6 // : 2

x = 6/2

x = 3

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

(X^2)/(2*x-6) = 9/(6*x-18) // - 9/(6*x-18)

(X^2)/(2*x-6)-(9/(6*x-18)) = 0

(X^2)/(2*x-6)-9*(6*x-18)^-1 = 0

(X^2)/(2*x-6)-9/(6*x-18) = 0

(X^2*(6*x-18))/((2*x-6)*(6*x-18))+(-9*(2*x-6))/((2*x-6)*(6*x-18)) = 0

X^2*(6*x-18)-9*(2*x-6) = 0

6*X^2*x-18*X^2-18*x+54 = 0

(6*X^2*x-18*X^2-18*x+54)/((2*x-6)*(6*x-18)) = 0

(6*X^2*x-18*X^2-18*x+54)/((2*x-6)*(6*x-18)) = 0 // * (2*x-6)*(6*x-18)

6*X^2*x-18*X^2-18*x+54 = 0

54-18*X^2-18*x = 0 // - 54-18*X^2

-18*x = -(54-18*X^2) // : -18

x = (-(54-18*X^2))/(-18)

x = (54-18*X^2)/18

x = (54-18*X^2)/18

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