2(x-1)/1/3x-1=4

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Solution for 2(x-1)/1/3x-1=4 equation: 


x in (-oo:+oo)

x*(((2*(x-1))/1)/3)-1 = 4 // - 4

x*(((2*(x-1))/1)/3)-4-1 = 0

x*((2*(x-1))/3)-4-1 = 0

(2*x*(x-1))/3-4-1 = 0

(2*x*(x-1))/3+(-4*3)/3+(-1*3)/3 = 0

2*x*(x-1)-4*3-1*3 = 0

2*x^2-2*x-12-3 = 0

2*x^2-2*x-15 = 0

2*x^2-2*x-15 = 0

2*x^2-2*x-15 = 0

DELTA = (-2)^2-(-15*2*4)

DELTA = 124

DELTA > 0

x = (124^(1/2)+2)/(2*2) or x = (2-124^(1/2))/(2*2)

x = (2*31^(1/2)+2)/4 or x = (2-2*31^(1/2))/4

(x-((2-2*31^(1/2))/4))*(x-((2*31^(1/2)+2)/4)) = 0

((x-((2-2*31^(1/2))/4))*(x-((2*31^(1/2)+2)/4)))/3 = 0

((x-((2-2*31^(1/2))/4))*(x-((2*31^(1/2)+2)/4)))/3 = 0 // * 3

(x-((2-2*31^(1/2))/4))*(x-((2*31^(1/2)+2)/4)) = 0

( x-((2*31^(1/2)+2)/4) )

x-((2*31^(1/2)+2)/4) = 0 // + (2*31^(1/2)+2)/4

x = (2*31^(1/2)+2)/4

( x-((2-2*31^(1/2))/4) )

x-((2-2*31^(1/2))/4) = 0 // + (2-2*31^(1/2))/4

x = (2-2*31^(1/2))/4

x in { (2*31^(1/2)+2)/4, (2-2*31^(1/2))/4 }

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