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Simplifying exp(-2x) + -3exp(-1x) + 1 = 0 Remove parenthesis around (-2x) epx * -2x + -3exp(-1x) + 1 = 0 Reorder the terms for easier multiplication: -2epx * x + -3exp(-1x) + 1 = 0 Multiply epx * x -2epx2 + -3exp(-1x) + 1 = 0 Remove parenthesis around (-1x) -2epx2 + -3epx * -1x + 1 = 0 Reorder the terms for easier multiplication: -2epx2 + -3 * -1epx * x + 1 = 0 Multiply -3 * -1 -2epx2 + 3epx * x + 1 = 0 Multiply epx * x -2epx2 + 3epx2 + 1 = 0 Reorder the terms: 1 + -2epx2 + 3epx2 = 0 Combine like terms: -2epx2 + 3epx2 = 1epx2 1 + 1epx2 = 0 Solving 1 + 1epx2 = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1epx2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1epx2 = 0 + -1 1epx2 = 0 + -1 Combine like terms: 0 + -1 = -1 1epx2 = -1 Divide each side by '1px2'. e = -1p-1x-2 Simplifying e = -1p-1x-2
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