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Simplifying 0 = ln(x3 + 4x + -5) Reorder the terms: 0 = ln(-5 + 4x + x3) 0 = (-5 * ln + 4x * ln + x3 * ln) 0 = (-5ln + 4lnx + lnx3) Solving 0 = -5ln + 4lnx + lnx3 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '5ln' to each side of the equation. 0 + 5ln = -5ln + 4lnx + 5ln + lnx3 Remove the zero: 5ln = -5ln + 4lnx + 5ln + lnx3 Reorder the terms: 5ln = -5ln + 5ln + 4lnx + lnx3 Combine like terms: -5ln + 5ln = 0 5ln = 0 + 4lnx + lnx3 5ln = 4lnx + lnx3 Add '-4lnx' to each side of the equation. 5ln + -4lnx = 4lnx + -4lnx + lnx3 Combine like terms: 4lnx + -4lnx = 0 5ln + -4lnx = 0 + lnx3 5ln + -4lnx = lnx3 Add '-1lnx3' to each side of the equation. 5ln + -4lnx + -1lnx3 = lnx3 + -1lnx3 Combine like terms: lnx3 + -1lnx3 = 0 5ln + -4lnx + -1lnx3 = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(5 + -4x + -1x3) = 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 + -1x3)' equal to zero and attempt to solve: Simplifying 5 + -4x + -1x3 = 0 Solving 5 + -4x + -1x3 = 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 + -5 + -1x3 = 0 + -5 Reorder the terms: 5 + -5 + -4x + -1x3 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x + -1x3 = 0 + -5 -4x + -1x3 = 0 + -5 Combine like terms: 0 + -5 = -5 -4x + -1x3 = -5 Add '4x' to each side of the equation. -4x + 4x + -1x3 = -5 + 4x Combine like terms: -4x + 4x = 0 0 + -1x3 = -5 + 4x -1x3 = -5 + 4x Add 'x3' to each side of the equation. -1x3 + x3 = -5 + 4x + x3 Combine like terms: -1x3 + x3 = 0 0 = -5 + 4x + x3 Simplifying 0 = -5 + 4x + x3 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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