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This equation has the next form:
To find if the equation has two complex solutions we have to check if the discriminant is negative, as follows:
Then, the first case has two complex solutions.
In the second case,
The discriminant in this case is:
Then, the second case has two complex solutions.
In the third case,
The discriminant in this case is:
Then, the third case has two real solutions.
In the fourth case,
The discriminant in this case is:
Then, the fourth case has two complex solutions.