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Exercise

$5x^3e^x+15x^2e^x=0$

Step-by-step Solution

Learn how to solve exponential equations problems step by step online. Solve the exponential equation 5x^3e^x+15x^2e^x=0. Factor the polynomial 5x^3e^x+15x^2e^x by it's greatest common factor (GCF): 5x^2e^x. Divide both sides of the equation by 5. Zero divided by anything is equal to zero. Break the equation in 3 factors and set each factor equal to zero, to obtain simpler equations.
Solve the exponential equation 5x^3e^x+15x^2e^x=0

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Final answer to the exercise

$x=0,\:x=-3$

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Similar Questions Solved

$5^x=125$

$3^x=243$

$10^x=25$

$4^x=32$

$4^c=64$

$e^x=0$

$2^{6x+7}=\left(\frac{1}{8}\right)^{1-5x}$

Main Topic: Exponential Equations

Exponential equations are those where the unknown appears only in the exponents of powers of constant bases.

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