Question: Solve the system of equations

Please help me the following code

f:=x->x^3-3*x^2+2;

g:=x->k*(x+1)+3;

solve([f(x) = g(x), diff(f(x),x) = diff(g(x),x)],[x,k]);

evalf(%);

The result of Maple is

[[x = .168254401781027, k = -.924597779530090]]

But, the system of equations has three solutions.

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