15*x-10*x*ln(x)-10=0

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Solution for 15*x-10*x*ln(x)-10=0 equation: 


Simplifying
15x + -10x * ln(x) + -10 = 0

Multiply x * ln
15x + -10lnx * x + -10 = 0

Multiply lnx * x
15x + -10lnx2 + -10 = 0

Reorder the terms:
-10 + -10lnx2 + 15x = 0

Solving
-10 + -10lnx2 + 15x = 0

Solving for variable 'l'.

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

Add '10' to each side of the equation.
-10 + -10lnx2 + 10 + 15x = 0 + 10

Reorder the terms:
-10 + 10 + -10lnx2 + 15x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -10lnx2 + 15x = 0 + 10
-10lnx2 + 15x = 0 + 10

Combine like terms: 0 + 10 = 10
-10lnx2 + 15x = 10

Add '-15x' to each side of the equation.
-10lnx2 + 15x + -15x = 10 + -15x

Combine like terms: 15x + -15x = 0
-10lnx2 + 0 = 10 + -15x
-10lnx2 = 10 + -15x

Divide each side by '-10nx2'.
l = -1n-1x-2 + 1.5n-1x-1

Simplifying
l = -1n-1x-2 + 1.5n-1x-1

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