.50 - x / x = 3.20e-1

I need to solve for x. I was going to do .50 X 3.20e-1 and then take the square root but this is not correct. I am not sure what to do. Thank you for your help.

Math(Please help) - Reiny, Tuesday, April 17, 2012 at 3:18pm
You probably meant

(.50 - x)/x = 3.2 e^-1= 3.2/e
crossmultiply ...
.50 - x = (3.2/e)x
(3.2/e)x + x = .5
x(3.2/e + 1)
x = .5/(3.2/e + 1)
multiply by e/e
= .5e/(3.2 + e)
multiply by 10/10
= 5e/(32 + 10e)

So I have to multiply 5e by 10 which would be 50e and then multiply (32+10e) by 10?

Math(Please respond) - bobpursley, Wednesday, April 18, 2012 at 7:17pm
Hannah: Professor Reiny solved it for you.

x= 10e/(32+10e)

calculate that. Or if you cant, put this in your google search window

10*e/(32+10*e) =

I understand. If the number was 2.49e-1 I would do the same thing, so it would be 10*e / (249 + 10*e) = ?. Is this correct?

Yes, that's correct. If the number was 2.49e-1, you would follow the same steps to solve for x. You would substitute 2.49e-1 for the value of 3.20e-1 in the equation:

x = 10e / (32 + 10e)

So, for 2.49e-1, your equation would be:

x = 10e / (249 + 10e)

To find the value of x, you can plug this equation into a calculator or use a search engine like Google to solve it. You simply type the equation into the search bar, and it will return the result. For example:

10*e/(249+10*e) =

This will give you the value of x as an output.