Question

(x^2)*(e^x)-(5)(x)(e^x)=0

Answer 1

solve for x

Answer 2

5

Answer 3

x^2e^x-5xe^x=0 ... Start with the given equation.



xe^x(x-5)=0 ... Factor out the GCF



x=0 or e^x=0 or x-5=0 ... Use the zero product property



x=0 or x=5 ... Solve for x



Note: there are no solutions to e^x=0, so we ignore this term.



So the solutions are x=0 or x=5