(6x-20)/3x-9

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Solution for (6x-20)/3x-9 equation:


x in (-oo:+oo)

x*((6*x-20)/3)-9 = 0

(x*(6*x-20))/3-9 = 0

(x*(6*x-20))/3+(-9*3)/3 = 0

x*(6*x-20)-9*3 = 0

6*x^2-20*x-27 = 0

6*x^2-20*x-27 = 0

6*x^2-20*x-27 = 0

DELTA = (-20)^2-(-27*4*6)

DELTA = 1048

DELTA > 0

x = (1048^(1/2)+20)/(2*6) or x = (20-1048^(1/2))/(2*6)

x = (2*262^(1/2)+20)/12 or x = (20-2*262^(1/2))/12

(x-((20-2*262^(1/2))/12))*(x-((2*262^(1/2)+20)/12)) = 0

((x-((20-2*262^(1/2))/12))*(x-((2*262^(1/2)+20)/12)))/3 = 0

((x-((20-2*262^(1/2))/12))*(x-((2*262^(1/2)+20)/12)))/3 = 0 // * 3

(x-((20-2*262^(1/2))/12))*(x-((2*262^(1/2)+20)/12)) = 0

( x-((2*262^(1/2)+20)/12) )

x-((2*262^(1/2)+20)/12) = 0 // + (2*262^(1/2)+20)/12

x = (2*262^(1/2)+20)/12

( x-((20-2*262^(1/2))/12) )

x-((20-2*262^(1/2))/12) = 0 // + (20-2*262^(1/2))/12

x = (20-2*262^(1/2))/12

x in { (2*262^(1/2)+20)/12, (20-2*262^(1/2))/12 }

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