2(x-1)/3x=10

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Solution for 2(x-1)/3x=10 equation: 


x in (-oo:+oo)

x*((2*(x-1))/3) = 10 // - 10

x*((2*(x-1))/3)-10 = 0

(2*x*(x-1))/3-10 = 0

(2*x*(x-1))/3+(-10*3)/3 = 0

2*x*(x-1)-10*3 = 0

2*x^2-2*x-30 = 0

2*x^2-2*x-30 = 0

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

x^2-x-15 = 0

DELTA = (-1)^2-(-15*1*4)

DELTA = 61

DELTA > 0

x = (61^(1/2)+1)/(1*2) or x = (1-61^(1/2))/(1*2)

x = (61^(1/2)+1)/2 or x = (1-61^(1/2))/2

2*(x-((1-61^(1/2))/2))*(x-((61^(1/2)+1)/2)) = 0

(2*(x-((1-61^(1/2))/2))*(x-((61^(1/2)+1)/2)))/3 = 0

(2*(x-((1-61^(1/2))/2))*(x-((61^(1/2)+1)/2)))/3 = 0 // * 3

2*(x-((1-61^(1/2))/2))*(x-((61^(1/2)+1)/2)) = 0

( x-((1-61^(1/2))/2) )

x-((1-61^(1/2))/2) = 0 // + (1-61^(1/2))/2

x = (1-61^(1/2))/2

( x-((61^(1/2)+1)/2) )

x-((61^(1/2)+1)/2) = 0 // + (61^(1/2)+1)/2

x = (61^(1/2)+1)/2

x in { (1-61^(1/2))/2, (61^(1/2)+1)/2 }

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