8.6x^2-0.5*ln(3x)=11.7

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Solution for 8.6x^2-0.5*ln(3x)=11.7 equation:


Simplifying
8.6x2 + -0.5ln(3x) = 11.7

Remove parenthesis around (3x)
8.6x2 + -0.5ln * 3x = 11.7

Reorder the terms for easier multiplication:
8.6x2 + -0.5 * 3ln * x = 11.7

Multiply -0.5 * 3
8.6x2 + -1.5ln * x = 11.7

Multiply ln * x
8.6x2 + -1.5lnx = 11.7

Reorder the terms:
-1.5lnx + 8.6x2 = 11.7

Solving
-1.5lnx + 8.6x2 = 11.7

Solving for variable 'l'.

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

Add '-8.6x2' to each side of the equation.
-1.5lnx + 8.6x2 + -8.6x2 = 11.7 + -8.6x2

Combine like terms: 8.6x2 + -8.6x2 = 0.0
-1.5lnx + 0.0 = 11.7 + -8.6x2
-1.5lnx = 11.7 + -8.6x2

Divide each side by '-1.5nx'.
l = -7.8n-1x-1 + 5.733333333n-1x

Simplifying
l = -7.8n-1x-1 + 5.733333333n-1x

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