SOLUTION: If 3 times the square of a number is added to the number itself, the result is 14. Find the number? I need help on how to set up the problem. Thank you

SOLUTION: If 3 times the square of a number is added to the number itself, the result is 14. Find the number? I need help on how to set up the problem. Thank you

Algebra.Com

Question 592174: If 3 times the square of a number is added to the number itself, the result is 14. Find the number? I need help on how to set up the problem.
Thank you
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
n + 3n^2 = 14

3n^2 + n - 14 = 0

factoring ___ (3n + 7)(n - 2) = 0
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