The number of real solutions of the equation is _ _ _ _.

MATHEMATICS · Subjective · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

The number of real solutions of the equation e4x+4e3x−58e2x+4ex+1=0e^{4x} + 4e^{3x} - 58e^{2x} + 4e^x + 1 = 0 is \_\_\_\_.

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