SOLUTION: ten more than the square of a number is the same as 7 times the number

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Question 413364: ten more than the square of a number is the same as 7 times the number
Answer by algebrahouse.com(1659) About Me  (Show Source):
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"ten more than the square of a number is the same as 7 times the number"

x = the number

x^2 + 10 = 7x {ten more than the square of a number is 7 times the number}
x^2 - 7x + 10 = 0 {subtracted 7x from both sides}
(x - 5)(x - 2) = 0 {factored into two binomials}
x - 5 = 0 or x - 2 = 0 {set each factor equal to 0}
x = 5 or x = 2 {solved each equation for x}
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