-x^2+10x-9-8lnx=0

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Solution for -x^2+10x-9-8lnx=0 equation:


Simplifying
-1x2 + 10x + -9 + -8lnx = 0

Reorder the terms:
-9 + -8lnx + 10x + -1x2 = 0

Solving
-9 + -8lnx + 10x + -1x2 = 0

Solving for variable 'l'.

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

Add '9' to each side of the equation.
-9 + -8lnx + 10x + 9 + -1x2 = 0 + 9

Reorder the terms:
-9 + 9 + -8lnx + 10x + -1x2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -8lnx + 10x + -1x2 = 0 + 9
-8lnx + 10x + -1x2 = 0 + 9

Combine like terms: 0 + 9 = 9
-8lnx + 10x + -1x2 = 9

Add '-10x' to each side of the equation.
-8lnx + 10x + -10x + -1x2 = 9 + -10x

Combine like terms: 10x + -10x = 0
-8lnx + 0 + -1x2 = 9 + -10x
-8lnx + -1x2 = 9 + -10x

Add 'x2' to each side of the equation.
-8lnx + -1x2 + x2 = 9 + -10x + x2

Combine like terms: -1x2 + x2 = 0
-8lnx + 0 = 9 + -10x + x2
-8lnx = 9 + -10x + x2

Divide each side by '-8nx'.
l = -1.125n-1x-1 + 1.25n-1 + -0.125n-1x

Simplifying
l = -1.125n-1x-1 + 1.25n-1 + -0.125n-1x

Reorder the terms:
l = 1.25n-1 + -1.125n-1x-1 + -0.125n-1x

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