SOLUTION: The product of a number and 5 more than twice the number is 75. Find the number. How would you figure this out?

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Question 461562: The product of a number and 5 more than twice the number is 75. Find the number.
How would you figure this out?
Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!

Assume number =x,
x(2x+5) = 75
=> 2x^2 + 5x -75 = 0
=> 2x^2+ 15x -10x -75 =0
=> x(2x+15)-5(2x+15)=0
=>(x-5)(2x+15)=0

x = 5, or x = -15/2

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