x=32/(3x-2)

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Solution for x=32/(3x-2) equation:


D( x )

3*x-2 = 0

3*x-2 = 0

3*x-2 = 0

3*x-2 = 0 // + 2

3*x = 2 // : 3

x = 2/3

x in (-oo:2/3) U (2/3:+oo)

x = 32/(3*x-2) // - 32/(3*x-2)

x-(32/(3*x-2)) = 0

x-32*(3*x-2)^-1 = 0

x-32/(3*x-2) = 0

(x*(3*x-2))/(3*x-2)-32/(3*x-2) = 0

x*(3*x-2)-32 = 0

3*x^2-2*x-32 = 0

3*x^2-2*x-32 = 0

3*x^2-2*x-32 = 0

DELTA = (-2)^2-(-32*3*4)

DELTA = 388

DELTA > 0

x = (388^(1/2)+2)/(2*3) or x = (2-388^(1/2))/(2*3)

x = (2*97^(1/2)+2)/6 or x = (2-2*97^(1/2))/6

(x-((2-2*97^(1/2))/6))*(x-((2*97^(1/2)+2)/6)) = 0

((x-((2-2*97^(1/2))/6))*(x-((2*97^(1/2)+2)/6)))/(3*x-2) = 0

((x-((2-2*97^(1/2))/6))*(x-((2*97^(1/2)+2)/6)))/(3*x-2) = 0 // * 3*x-2

(x-((2-2*97^(1/2))/6))*(x-((2*97^(1/2)+2)/6)) = 0

( x-((2*97^(1/2)+2)/6) )

x-((2*97^(1/2)+2)/6) = 0 // + (2*97^(1/2)+2)/6

x = (2*97^(1/2)+2)/6

( x-((2-2*97^(1/2))/6) )

x-((2-2*97^(1/2))/6) = 0 // + (2-2*97^(1/2))/6

x = (2-2*97^(1/2))/6

x in { (2*97^(1/2)+2)/6, (2-2*97^(1/2))/6 }

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