2(ln(x))x+3(x-1)=0

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Solution for 2(ln(x))x+3(x-1)=0 equation:


Simplifying
2(ln(x)) * x + 3(x + -1) = 0

Multiply ln * x
2(lnx) * x + 3(x + -1) = 0

Multiply lnx * x
2lnx2 + 3(x + -1) = 0

Reorder the terms:
2lnx2 + 3(-1 + x) = 0
2lnx2 + (-1 * 3 + x * 3) = 0
2lnx2 + (-3 + 3x) = 0

Reorder the terms:
-3 + 2lnx2 + 3x = 0

Solving
-3 + 2lnx2 + 3x = 0

Solving for variable 'l'.

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

Add '3' to each side of the equation.
-3 + 2lnx2 + 3 + 3x = 0 + 3

Reorder the terms:
-3 + 3 + 2lnx2 + 3x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2lnx2 + 3x = 0 + 3
2lnx2 + 3x = 0 + 3

Combine like terms: 0 + 3 = 3
2lnx2 + 3x = 3

Add '-3x' to each side of the equation.
2lnx2 + 3x + -3x = 3 + -3x

Combine like terms: 3x + -3x = 0
2lnx2 + 0 = 3 + -3x
2lnx2 = 3 + -3x

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

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

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