We know that by the distributive property $$a(b+c) = ab + ac$$ is an identity. However, $$a + bc = (a+b)(a+c)$$ is not an identity.
Find the number of ordered triples of integers $$(a,b,c)$$ in the interval $$[-10,10]$$ such that $$a+bc = (a+b)(a+c)$$.