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Simplifying 3x2 + 6ln(x + -1) = 0 Reorder the terms: 3x2 + 6ln(-1 + x) = 0 3x2 + (-1 * 6ln + x * 6ln) = 0 3x2 + (-6ln + 6lnx) = 0 Reorder the terms: -6ln + 6lnx + 3x2 = 0 Solving -6ln + 6lnx + 3x2 = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-3x2' to each side of the equation. -6ln + 6lnx + 3x2 + -3x2 = 0 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -6ln + 6lnx + 0 = 0 + -3x2 -6ln + 6lnx = 0 + -3x2 Remove the zero: -6ln + 6lnx = -3x2 Combine like terms: -3x2 + 3x2 = 0 -6ln + 6lnx + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-2ln + 2lnx + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-2ln + 2lnx + x2)' equal to zero and attempt to solve: Simplifying -2ln + 2lnx + x2 = 0 Solving -2ln + 2lnx + x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '-1x2' to each side of the equation. -2ln + 2lnx + x2 + -1x2 = 0 + -1x2 Combine like terms: x2 + -1x2 = 0 -2ln + 2lnx + 0 = 0 + -1x2 -2ln + 2lnx = 0 + -1x2 Remove the zero: -2ln + 2lnx = -1x2 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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