((6x-3)/(3-x))+(15/(x-3))

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Solution for ((6x-3)/(3-x))+(15/(x-3)) equation:


D( x )

3-x = 0

x-3 = 0

3-x = 0

3-x = 0

3-x = 0 // - 3

-x = -3 // * -1

x = 3

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

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

(6*x-3)/(3-x)+15/(x-3) = 0

((6*x-3)*(x-3))/((3-x)*(x-3))+(15*(3-x))/((3-x)*(x-3)) = 0

(6*x-3)*(x-3)+15*(3-x) = 0

6*x^2-36*x+54 = 0

6*x^2-36*x+54 = 0

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

x^2-6*x+9 = 0

DELTA = (-6)^2-(1*4*9)

DELTA = 0

x = 6/(1*2)

x = 3 or x = 3

6*(x-3)^2 = 0

(6*(x-3)^2)/((3-x)*(x-3)) = 0

(6*(x-3)^2)/((3-x)*(x-3)) = 0 // * (3-x)*(x-3)

6*(x-3)^2 = 0

x-3 = 0 // + 3

x = 3

x in { 3}

x belongs to the empty set

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