# Too Many Values

Algebra Level 5

Find all rational numbers $$a$$, $$b$$ and $$c$$ such that the equation $$x^3 + ax^2+bx+c = 0$$ has roots $$a$$, $$b$$ and $$c$$.

Enter your answer as the sum of all solutions. For example, if $$(a,b,c)$$ are $$(5,6,7)$$ and $$(3,4,8)$$, then enter your answer as $$5+6+7+3+4+8=33$$.

Note: $$b,c$$ cannot be simultaneously equal to $$0$$.

×