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