Given the equation , we want it to have equal roots. To achieve this, we need to manipulate it into a quadratic form in terms of :

For this quadratic equation to have equal (repeated) roots, the discriminant must be zero. The discriminant for the equation is given by:

Substituting , and into the discriminant formula, we get:

Simplifying the expression:

Solving for :

Now, consider the point , which becomes . We need to find its distance from the line . The formula for the distance from a point to a line is:

Substituting and the line coefficients :

Calculating the numerator:

And the denominator:

Therefore, the distance is:

Thus, the distance is 15.

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