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  x = {-0.44, 1.69}

Step-by-step explanation:

Multiply by the denominator to eliminate the fraction.

  3 = x(4x -5)

  4x^2 -5x -3 = 0 . . . . . subtract 3 and put in standard form

Using the quadratic formula with a=4, b=-5, c=-3, we have the solutions as ...

Solutions rounded to hundredths are ...

  x = -0.44

  x = 1.69

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A graphing calculator can show the x-intercepts easily, so it works well to write the equation in the form

  f(x) = 0

  3/(4x -5) -x = 0

true

explanation: