SOLUTION: Solve the equation: x^2 10^x - x10^x = 2(10^x) I tried working this but came out with negative numbers. Thank you so very much

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Solve the equation: x^2 10^x - x10^x = 2(10^x) I tried working this but came out with negative numbers. Thank you so very much      Log On


   

Question 48042This question is from textbook College Algebra
: Solve the equation:
x^2 10^x - x10^x = 2(10^x)
I tried working this but came out with negative numbers.
Thank you so very much This question is from textbook College Algebra

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
x^2 10^x - x10^x = 2(10^x)
10^x(x^2-x-2)=0
10^x(x-2)(x+1)=0
x=2 or x=-1
Cheers,
Stan H.