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Simplifying ln(x4 + 2x2 + -5) + -4ln(x) = 0 Reorder the terms: ln(-5 + 2x2 + x4) + -4ln(x) = 0 (-5 * ln + 2x2 * ln + x4 * ln) + -4ln(x) = 0 (-5ln + 2lnx2 + lnx4) + -4ln(x) = 0 Multiply ln * x -5ln + 2lnx2 + lnx4 + -4lnx = 0 Reorder the terms: -5ln + -4lnx + 2lnx2 + lnx4 = 0 Solving -5ln + -4lnx + 2lnx2 + lnx4 = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'ln'. ln(-5 + -4x + 2x2 + x4) = 0Subproblem 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 '(-5 + -4x + 2x2 + x4)' equal to zero and attempt to solve: Simplifying -5 + -4x + 2x2 + x4 = 0 Solving -5 + -4x + 2x2 + x4 = 0 Move all terms containing l to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -4x + 2x2 + 5 + x4 = 0 + 5 Reorder the terms: -5 + 5 + -4x + 2x2 + x4 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4x + 2x2 + x4 = 0 + 5 -4x + 2x2 + x4 = 0 + 5 Combine like terms: 0 + 5 = 5 -4x + 2x2 + x4 = 5 Add '4x' to each side of the equation. -4x + 2x2 + 4x + x4 = 5 + 4x Reorder the terms: -4x + 4x + 2x2 + x4 = 5 + 4x Combine like terms: -4x + 4x = 0 0 + 2x2 + x4 = 5 + 4x 2x2 + x4 = 5 + 4x Add '-2x2' to each side of the equation. 2x2 + -2x2 + x4 = 5 + 4x + -2x2 Combine like terms: 2x2 + -2x2 = 0 0 + x4 = 5 + 4x + -2x2 x4 = 5 + 4x + -2x2 Add '-1x4' to each side of the equation. x4 + -1x4 = 5 + 4x + -2x2 + -1x4 Combine like terms: x4 + -1x4 = 0 0 = 5 + 4x + -2x2 + -1x4 Simplifying 0 = 5 + 4x + -2x2 + -1x4 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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