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 = (-388^(1/2)-2)/(2*3)

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

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

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

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

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

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