$|x-a|=0.5$ $\times$ $x-1$ What is "a" if...?

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a)the equation doesn't have solutions?

b)the equation has infinite number of solutions?

c)the equation has one solution?

d)the equation has only 2 solutions?

Could you please give more detailed explanations?

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Hint:

No solution

One solution

Two solutions

What do you think about the situation of infinitely many solutions?

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