xln(x)+5ln(x)-6x=30

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Solution for xln(x)+5ln(x)-6x=30 equation:


Simplifying
xln(x) + 5ln(x) + -6x = 30

Multiply lnx * x
lnx2 + 5ln(x) + -6x = 30

Multiply ln * x
lnx2 + 5lnx + -6x = 30

Reorder the terms:
5lnx + lnx2 + -6x = 30

Solving
5lnx + lnx2 + -6x = 30

Solving for variable 'l'.

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

Add '6x' to each side of the equation.
5lnx + lnx2 + -6x + 6x = 30 + 6x

Combine like terms: -6x + 6x = 0
5lnx + lnx2 + 0 = 30 + 6x
5lnx + lnx2 = 30 + 6x

Reorder the terms:
-30 + 5lnx + lnx2 + -6x = 30 + 6x + -30 + -6x

Reorder the terms:
-30 + 5lnx + lnx2 + -6x = 30 + -30 + 6x + -6x

Combine like terms: 30 + -30 = 0
-30 + 5lnx + lnx2 + -6x = 0 + 6x + -6x
-30 + 5lnx + lnx2 + -6x = 6x + -6x

Combine like terms: 6x + -6x = 0
-30 + 5lnx + lnx2 + -6x = 0

The solution to this equation could not be determined.

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