0.0000461=-x-2ln(1-x)

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Solution for 0.0000461=-x-2ln(1-x) equation:


Simplifying
0.0000461 = -1x + -2ln(1 + -1x)
0.0000461 = -1x + (1 * -2ln + -1x * -2ln)
0.0000461 = -1x + (-2ln + 2lnx)

Reorder the terms:
0.0000461 = -2ln + 2lnx + -1x

Solving
0.0000461 = -2ln + 2lnx + -1x

Solving for variable 'l'.

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

Add '2ln' to each side of the equation.
0.0000461 + 2ln = -2ln + 2lnx + 2ln + -1x

Reorder the terms:
0.0000461 + 2ln = -2ln + 2ln + 2lnx + -1x

Combine like terms: -2ln + 2ln = 0
0.0000461 + 2ln = 0 + 2lnx + -1x
0.0000461 + 2ln = 2lnx + -1x

Add '-2lnx' to each side of the equation.
0.0000461 + 2ln + -2lnx = 2lnx + -2lnx + -1x

Combine like terms: 2lnx + -2lnx = 0
0.0000461 + 2ln + -2lnx = 0 + -1x
0.0000461 + 2ln + -2lnx = -1x

Add '-0.0000461' to each side of the equation.
0.0000461 + 2ln + -0.0000461 + -2lnx = -0.0000461 + -1x

Reorder the terms:
0.0000461 + -0.0000461 + 2ln + -2lnx = -0.0000461 + -1x

Combine like terms: 0.0000461 + -0.0000461 = 0.0000000
0.0000000 + 2ln + -2lnx = -0.0000461 + -1x
2ln + -2lnx = -0.0000461 + -1x

Reorder the terms:
0.0000461 + 2ln + -2lnx + x = -0.0000461 + -1x + 0.0000461 + x

Reorder the terms:
0.0000461 + 2ln + -2lnx + x = -0.0000461 + 0.0000461 + -1x + x

Combine like terms: -0.0000461 + 0.0000461 = 0.0000000
0.0000461 + 2ln + -2lnx + x = 0.0000000 + -1x + x
0.0000461 + 2ln + -2lnx + x = -1x + x

Combine like terms: -1x + x = 0
0.0000461 + 2ln + -2lnx + x = 0

The solution to this equation could not be determined.

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