x(ln(x))-15+3(ln(x))-5x=0

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Solution for x(ln(x))-15+3(ln(x))-5x=0 equation:


Simplifying
x(ln(x)) + -15 + 3(ln(x)) + -5x = 0

Multiply ln * x
x(lnx) + -15 + 3(ln(x)) + -5x = 0

Multiply x * lnx
lnx2 + -15 + 3(ln(x)) + -5x = 0

Multiply ln * x
lnx2 + -15 + 3(lnx) + -5x = 0

Reorder the terms:
-15 + 3lnx + lnx2 + -5x = 0

Solving
-15 + 3lnx + lnx2 + -5x = 0

Solving for variable 'l'.

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

Add '15' to each side of the equation.
-15 + 3lnx + lnx2 + 15 + -5x = 0 + 15

Reorder the terms:
-15 + 15 + 3lnx + lnx2 + -5x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 3lnx + lnx2 + -5x = 0 + 15
3lnx + lnx2 + -5x = 0 + 15

Combine like terms: 0 + 15 = 15
3lnx + lnx2 + -5x = 15

Add '5x' to each side of the equation.
3lnx + lnx2 + -5x + 5x = 15 + 5x

Combine like terms: -5x + 5x = 0
3lnx + lnx2 + 0 = 15 + 5x
3lnx + lnx2 = 15 + 5x

Reorder the terms:
-15 + 3lnx + lnx2 + -5x = 15 + 5x + -15 + -5x

Reorder the terms:
-15 + 3lnx + lnx2 + -5x = 15 + -15 + 5x + -5x

Combine like terms: 15 + -15 = 0
-15 + 3lnx + lnx2 + -5x = 0 + 5x + -5x
-15 + 3lnx + lnx2 + -5x = 5x + -5x

Combine like terms: 5x + -5x = 0
-15 + 3lnx + lnx2 + -5x = 0

The solution to this equation could not be determined.

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