4x^2+20lnx-x-1=0

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Solution for 4x^2+20lnx-x-1=0 equation:


Simplifying
4x2 + 20lnx + -1x + -1 = 0

Reorder the terms:
-1 + 20lnx + -1x + 4x2 = 0

Solving
-1 + 20lnx + -1x + 4x2 = 0

Solving for variable 'l'.

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

Add '1' to each side of the equation.
-1 + 20lnx + -1x + 1 + 4x2 = 0 + 1

Reorder the terms:
-1 + 1 + 20lnx + -1x + 4x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 20lnx + -1x + 4x2 = 0 + 1
20lnx + -1x + 4x2 = 0 + 1

Combine like terms: 0 + 1 = 1
20lnx + -1x + 4x2 = 1

Add 'x' to each side of the equation.
20lnx + -1x + x + 4x2 = 1 + x

Combine like terms: -1x + x = 0
20lnx + 0 + 4x2 = 1 + x
20lnx + 4x2 = 1 + x

Add '-4x2' to each side of the equation.
20lnx + 4x2 + -4x2 = 1 + x + -4x2

Combine like terms: 4x2 + -4x2 = 0
20lnx + 0 = 1 + x + -4x2
20lnx = 1 + x + -4x2

Divide each side by '20nx'.
l = 0.05n-1x-1 + 0.05n-1 + -0.2n-1x

Simplifying
l = 0.05n-1x-1 + 0.05n-1 + -0.2n-1x

Reorder the terms:
l = 0.05n-1 + 0.05n-1x-1 + -0.2n-1x

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