Posted by Ash on Monday, July 25, 2011 at 7:09pm.
x^2e^x + 9xe^x = 0.
Factor out e^x:
e^x(x^2+9x) = 0,
Divide both sids by e^x:
x^2 + 9x = 0,
x(x+9) = 0,
x = 0.
x + 9 = 0,
x = -9.
Solution Set: x = 0, and x =-9.
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