The sum of a number and its square is 5 times the number. Let the number be X.

X + X^2 = 5*X

=> X^2 = 5X - X

=> X^2 = 4X

=> X^2 - 4X = 0

=> X(X - 4) = 0

=> X = 0 and X = 4

**For the numbers 0 and 4, the sum of the number and its square is 5 times the number.**

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