# SOLUTION: Three times the square of the number when added to seven times the number result in 26.What is the number ?

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 Click here to see ALL problems on Numbers Word Problems Question 174436: Three times the square of the number when added to seven times the number result in 26.What is the number ?Answer by nerdybill(6958)   (Show Source): You can put this solution on YOUR website! Three times the square of the number when added to seven times the number result in 26.What is the number ? . Let x = the number . 3x^2 + 7x = 26 3x^2 + 7x - 26 = 0 (3x+13)(x-2) = 0 . Setting each term to zero: (3x+13) = 0 3x = -13 x = -13/3 . (x-2) = 0 x = 2 . Solution set: x = {2, -13/3} . Tossing out the negative fraction leaves us with: x = 2