0.5(ln(100-x)1.1+x)+0.5(ln(100-x)1.1+1.21x)=0

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Solution for 0.5(ln(100-x)1.1+x)+0.5(ln(100-x)1.1+1.21x)=0 equation:


Simplifying
0.5(ln(100 + -1x) * 1.1 + x) + 0.5(ln(100 + -1x) * 1.1 + 1.21x) = 0

Reorder the terms for easier multiplication:
0.5(1.1ln(100 + -1x) + x) + 0.5(ln(100 + -1x) * 1.1 + 1.21x) = 0
0.5((100 * 1.1ln + -1x * 1.1ln) + x) + 0.5(ln(100 + -1x) * 1.1 + 1.21x) = 0
0.5((110ln + -1.1lnx) + x) + 0.5(ln(100 + -1x) * 1.1 + 1.21x) = 0
(110ln * 0.5 + -1.1lnx * 0.5 + x * 0.5) + 0.5(ln(100 + -1x) * 1.1 + 1.21x) = 0
(55ln + -0.55lnx + 0.5x) + 0.5(ln(100 + -1x) * 1.1 + 1.21x) = 0

Reorder the terms for easier multiplication:
55ln + -0.55lnx + 0.5x + 0.5(1.1ln(100 + -1x) + 1.21x) = 0
55ln + -0.55lnx + 0.5x + 0.5((100 * 1.1ln + -1x * 1.1ln) + 1.21x) = 0
55ln + -0.55lnx + 0.5x + 0.5((110ln + -1.1lnx) + 1.21x) = 0
55ln + -0.55lnx + 0.5x + (110ln * 0.5 + -1.1lnx * 0.5 + 1.21x * 0.5) = 0
55ln + -0.55lnx + 0.5x + (55ln + -0.55lnx + 0.605x) = 0

Reorder the terms:
55ln + 55ln + -0.55lnx + -0.55lnx + 0.5x + 0.605x = 0

Combine like terms: 55ln + 55ln = 110ln
110ln + -0.55lnx + -0.55lnx + 0.5x + 0.605x = 0

Combine like terms: -0.55lnx + -0.55lnx = -1.1lnx
110ln + -1.1lnx + 0.5x + 0.605x = 0

Combine like terms: 0.5x + 0.605x = 1.105x
110ln + -1.1lnx + 1.105x = 0

Solving
110ln + -1.1lnx + 1.105x = 0

Solving for variable 'l'.

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

Add '-1.105x' to each side of the equation.
110ln + -1.1lnx + 1.105x + -1.105x = 0 + -1.105x

Combine like terms: 1.105x + -1.105x = 0.000
110ln + -1.1lnx + 0.000 = 0 + -1.105x
110ln + -1.1lnx = 0 + -1.105x
Remove the zero:
110ln + -1.1lnx = -1.105x

Combine like terms: -1.105x + 1.105x = 0.000
110ln + -1.1lnx + 1.105x = 0.000

The solution to this equation could not be determined.

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