4lnx+lnx^3-lny=lna

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Solution for 4lnx+lnx^3-lny=lna equation:


Simplifying
4lnx + lnx3 + -1lny = lna

Solving
4lnx + lnx3 + -1lny = aln

Solving for variable 'l'.

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

Add '-1aln' to each side of the equation.
4lnx + lnx3 + -1aln + -1lny = aln + -1aln

Reorder the terms:
-1aln + 4lnx + lnx3 + -1lny = aln + -1aln

Combine like terms: aln + -1aln = 0
-1aln + 4lnx + lnx3 + -1lny = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-1a + 4x + x3 + -1y) = 0

Subproblem 1

Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-1a + 4x + x3 + -1y)' equal to zero and attempt to solve: Simplifying -1a + 4x + x3 + -1y = 0 Solving -1a + 4x + x3 + -1y = 0 Move all terms containing l to the left, all other terms to the right. Add 'a' to each side of the equation. -1a + 4x + x3 + a + -1y = 0 + a Reorder the terms: -1a + a + 4x + x3 + -1y = 0 + a Combine like terms: -1a + a = 0 0 + 4x + x3 + -1y = 0 + a 4x + x3 + -1y = 0 + a Remove the zero: 4x + x3 + -1y = a Add '-4x' to each side of the equation. 4x + x3 + -4x + -1y = a + -4x Reorder the terms: 4x + -4x + x3 + -1y = a + -4x Combine like terms: 4x + -4x = 0 0 + x3 + -1y = a + -4x x3 + -1y = a + -4x Add '-1x3' to each side of the equation. x3 + -1x3 + -1y = a + -4x + -1x3 Combine like terms: x3 + -1x3 = 0 0 + -1y = a + -4x + -1x3 -1y = a + -4x + -1x3 Add 'y' to each side of the equation. -1y + y = a + -4x + -1x3 + y Combine like terms: -1y + y = 0 0 = a + -4x + -1x3 + y Simplifying 0 = a + -4x + -1x3 + y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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