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I'm not really sure what you mean, but if it is required that c can be any real value, then the conclusion remains: for some c there are solutions, for other there are none.
For each of the values of c that are valid (c<4) you can draw graphs of these solutions.
In the image you see the graphs of the solutions for c = {-5,-4,-3,...,3,4}
The largest circle is the graph for c=-5, the origin is the solution when c=4.