# Diophantine with single-digit unknowns

Given that Diophantine equation $\large ax^2+bx=(a+b+c)^2+a+b$ where $$a$$, $$b$$, and $$c$$ are different single-digit natural numbers (i.e. 1 to 9) has one root equal (of $$x$$) to 10, what is the other root?

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