(((40x-45)/(9x-27))/((8x-9)/(3x-9)))

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Solution for (((40x-45)/(9x-27))/((8x-9)/(3x-9))) equation:


D( x )

(8*x-9)/(3*x-9) = 0

9*x-27 = 0

3*x-9 = 0

(8*x-9)/(3*x-9) = 0

(8*x-9)/(3*x-9) = 0

8*x-9 = 0 // + 9

8*x = 9 // : 8

x = 9/8

9*x-27 = 0

9*x-27 = 0

9*x-27 = 0 // + 27

9*x = 27 // : 9

x = 27/9

x = 3

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:9/8) U (9/8:3) U (3:+oo)

((40*x-45)/(9*x-27))/((8*x-9)/(3*x-9)) = 0

((40*x-45)*(3*x-9))/((9*x-27)*(8*x-9)) = 0

( 3*x-9 )

3*x-9 = 0 // + 9

3*x = 9 // : 3

x = 9/3

x = 3

( 40*x-45 )

40*x-45 = 0 // + 45

40*x = 45 // : 40

x = 45/40

x = 9/8

x in { 3}

x in { 9/8}

x belongs to the empty set

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