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Simplifying x2ln(x + -3) + 4ln(x + -3) = 0 Reorder the terms: lnx2(-3 + x) + 4ln(x + -3) = 0 (-3 * lnx2 + x * lnx2) + 4ln(x + -3) = 0 (-3lnx2 + lnx3) + 4ln(x + -3) = 0 Reorder the terms: -3lnx2 + lnx3 + 4ln(-3 + x) = 0 -3lnx2 + lnx3 + (-3 * 4ln + x * 4ln) = 0 -3lnx2 + lnx3 + (-12ln + 4lnx) = 0 Reorder the terms: -12ln + 4lnx + -3lnx2 + lnx3 = 0 Solving -12ln + 4lnx + -3lnx2 + lnx3 = 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(-12 + 4x + -3x2 + x3) = 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 '(-12 + 4x + -3x2 + x3)' equal to zero and attempt to solve: Simplifying -12 + 4x + -3x2 + x3 = 0 Solving -12 + 4x + -3x2 + x3 = 0 Move all terms containing l to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 4x + -3x2 + 12 + x3 = 0 + 12 Reorder the terms: -12 + 12 + 4x + -3x2 + x3 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 4x + -3x2 + x3 = 0 + 12 4x + -3x2 + x3 = 0 + 12 Combine like terms: 0 + 12 = 12 4x + -3x2 + x3 = 12 Add '-4x' to each side of the equation. 4x + -3x2 + -4x + x3 = 12 + -4x Reorder the terms: 4x + -4x + -3x2 + x3 = 12 + -4x Combine like terms: 4x + -4x = 0 0 + -3x2 + x3 = 12 + -4x -3x2 + x3 = 12 + -4x Add '3x2' to each side of the equation. -3x2 + 3x2 + x3 = 12 + -4x + 3x2 Combine like terms: -3x2 + 3x2 = 0 0 + x3 = 12 + -4x + 3x2 x3 = 12 + -4x + 3x2 Add '-1x3' to each side of the equation. x3 + -1x3 = 12 + -4x + 3x2 + -1x3 Combine like terms: x3 + -1x3 = 0 0 = 12 + -4x + 3x2 + -1x3 Simplifying 0 = 12 + -4x + 3x2 + -1x3 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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