Social services could probably tell you dentist that would take payments. However, as Catie Trewin said about most dentist wanting you to apply for care credit, this is true. With care credit you can make payments, also as soon as you apply they will give you a number to use until you get your card if you get it. It's real quick and easy to apply and you will know immediately
Try Hudson family dentistry
Most will encourage you to apply for care credit and make those payments, Google dentists in your area and call a few, even ask them. Sometimes they know and can refer you to one.
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