3e^2x-1=1/2

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Solution for 3e^2x-1=1/2 equation: 


x in (-oo:+oo)

3*e^2*x-1 = 1/2 // - 1/2

3*e^2*x-(1/2)-1 = 0

3*e^2*x-1/2-1 = 0

3*e^2*x-3/2 = 0 // + 3/2

3*e^2*x = 3/2 // : 3*e^2

x = 3/2/(3*e^2)

x = 1/2*e^-2

x = 1/2*e^-2

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