2exp(x+1)-3-exp(-x)=0

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Solution for 2exp(x+1)-3-exp(-x)=0 equation:


Simplifying
2exp(x + 1) + -3 + -1exp(-1x) = 0

Reorder the terms:
2epx(1 + x) + -3 + -1exp(-1x) = 0
(1 * 2epx + x * 2epx) + -3 + -1exp(-1x) = 0
(2epx + 2epx2) + -3 + -1exp(-1x) = 0

Remove parenthesis around (-1x)
2epx + 2epx2 + -3 + -1epx * -1x = 0

Reorder the terms for easier multiplication:
2epx + 2epx2 + -3 + -1 * -1epx * x = 0

Multiply -1 * -1
2epx + 2epx2 + -3 + 1epx * x = 0

Multiply epx * x
2epx + 2epx2 + -3 + 1epx2 = 0

Reorder the terms:
-3 + 2epx + 2epx2 + 1epx2 = 0

Combine like terms: 2epx2 + 1epx2 = 3epx2
-3 + 2epx + 3epx2 = 0

Solving
-3 + 2epx + 3epx2 = 0

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 2epx + 3 + 3epx2 = 0 + 3

Reorder the terms:
-3 + 3 + 2epx + 3epx2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2epx + 3epx2 = 0 + 3
2epx + 3epx2 = 0 + 3

Combine like terms: 0 + 3 = 3
2epx + 3epx2 = 3

Reorder the terms:
-3 + 2epx + 3epx2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 2epx + 3epx2 = 0

The solution to this equation could not be determined.

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