`e^(-2x) - 2xe^(-2x) = 0` Solve the equation algebraically. Round your result to three decimal places. Verify your answer using a graphing utility.

Textbook Question

Chapter 3, 3.4 - Problem 76 - Precalculus (3rd Edition, Ron Larson).
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kspcr111 | In Training Educator

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e^(-2x) - 2xe^(-2x) = 0

Taking the term e^(-2x) as common we get,

=>   e^(-2x)[1-2x]=0

=>   ((1-2x)/(e^(2x))) =0

=> (1-2x) = 0 * (e^(2x))

=> 1-2x =0

=> x = 1/2 = 0.500

the below graphs are

1) e^(-2x) - 2xe^(-2x) = 0

2) y= e^(-2x) - 2xe^(-2x)

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