2/3=(x+7)/3x

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Solution for 2/3=(x+7)/3x equation: 


x in (-oo:+oo)

2/3 = x*((x+7)/3) // - x*((x+7)/3)

2/3-(x*((x+7)/3)) = 0

(-1*x*(x+7))/3+2/3 = 0

2-1*x*(x+7) = 0

2-x^2-7*x = 0

2-x^2-7*x = 0

2-x^2-7*x = 0

DELTA = (-7)^2-(-1*2*4)

DELTA = 57

DELTA > 0

x = (57^(1/2)+7)/(-1*2) or x = (7-57^(1/2))/(-1*2)

x = (57^(1/2)+7)/(-2) or x = (7-57^(1/2))/(-2)

(x-((57^(1/2)+7)/(-2)))*(x-((7-57^(1/2))/(-2))) = 0

((x-((57^(1/2)+7)/(-2)))*(x-((7-57^(1/2))/(-2))))/3 = 0

((x-((57^(1/2)+7)/(-2)))*(x-((7-57^(1/2))/(-2))))/3 = 0 // * 3

(x-((57^(1/2)+7)/(-2)))*(x-((7-57^(1/2))/(-2))) = 0

( x-((57^(1/2)+7)/(-2)) )

x-((57^(1/2)+7)/(-2)) = 0 // + (57^(1/2)+7)/(-2)

x = (57^(1/2)+7)/(-2)

( x-((7-57^(1/2))/(-2)) )

x-((7-57^(1/2))/(-2)) = 0 // + (7-57^(1/2))/(-2)

x = (7-57^(1/2))/(-2)

x in { (57^(1/2)+7)/(-2), (7-57^(1/2))/(-2) }

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