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

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Solution for 9x/3(x-3)-x=8 equation: 


x in (-oo:+oo)

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

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

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

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

3*x^2-10*x-8 = 0

3*x^2-10*x-8 = 0

3*x^2-10*x-8 = 0

DELTA = (-10)^2-(-8*3*4)

DELTA = 196

DELTA > 0

x = (196^(1/2)+10)/(2*3) or x = (10-196^(1/2))/(2*3)

x = 4 or x = -2/3

(x+2/3)*(x-4) = 0

(x+2/3)*(x-4) = 0

( x+2/3 )

x+2/3 = 0 // - 2/3

x = -2/3

( x-4 )

x-4 = 0 // + 4

x = 4

x in { -2/3, 4 }

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