(7x-6)/(8x-9)=(x-6)/(x-8)

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Solution for (7x-6)/(8x-9)=(x-6)/(x-8) equation:


D( x )

x-8 = 0

8*x-9 = 0

x-8 = 0

x-8 = 0

x-8 = 0 // + 8

x = 8

8*x-9 = 0

8*x-9 = 0

8*x-9 = 0 // + 9

8*x = 9 // : 8

x = 9/8

x in (-oo:9/8) U (9/8:8) U (8:+oo)

(7*x-6)/(8*x-9) = (x-6)/(x-8) // - (x-6)/(x-8)

(7*x-6)/(8*x-9)-((x-6)/(x-8)) = 0

(7*x-6)/(8*x-9)+(-1*(x-6))/(x-8) = 0

((7*x-6)*(x-8))/((8*x-9)*(x-8))+(-1*(x-6)*(8*x-9))/((8*x-9)*(x-8)) = 0

(7*x-6)*(x-8)-1*(x-6)*(8*x-9) = 0

-x^2-5*x-6 = 0

-x^2-5*x-6 = 0

-1*(x^2+5*x+6) = 0

x^2+5*x+6 = 0

DELTA = 5^2-(1*4*6)

DELTA = 1

DELTA > 0

x = (1^(1/2)-5)/(1*2) or x = (-1^(1/2)-5)/(1*2)

x = -2 or x = -3

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

(-1*(x+3)*(x+2))/((8*x-9)*(x-8)) = 0

(-1*(x+3)*(x+2))/((8*x-9)*(x-8)) = 0 // * (8*x-9)*(x-8)

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

( x+2 )

x+2 = 0 // - 2

x = -2

( x+3 )

x+3 = 0 // - 3

x = -3

x in { -2, -3 }

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