Question 177035
x/3 = 4/x+1
Multiply both sides by 3x:
x^2 = 12+3x
Move all terms to the left:
x^2-3x-12=0
Since you can't factor, you must apply the quadratic equation.  Doing so, yields:
x={5.2749, -2.2749}
Here's the details of the quadratic:
*[invoke quadratic "x", 1, -3, -12 ]

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-3/x = x/-3
Multiply both sides by -3x:
9 = x^2
Taking the square root of both sides:
x = {-3,3}