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Simplifying 0 = 60ln(x + 1) Reorder the terms: 0 = 60ln(1 + x) 0 = (1 * 60ln + x * 60ln) 0 = (60ln + 60lnx) Solving 0 = 60ln + 60lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-60ln' to each side of the equation. 0 + -60ln = 60ln + -60ln + 60lnx Remove the zero: -60ln = 60ln + -60ln + 60lnx Combine like terms: 60ln + -60ln = 0 -60ln = 0 + 60lnx -60ln = 60lnx Add '-60lnx' to each side of the equation. -60ln + -60lnx = 60lnx + -60lnx Combine like terms: 60lnx + -60lnx = 0 -60ln + -60lnx = 0 Factor out the Greatest Common Factor (GCF), '-60ln'. -60ln(1 + x) = 0 Ignore the factor -60.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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Add '-1x' to each side of the equation. x + -1x = -1 + -1x Combine like terms: x + -1x = 0 0 = -1 + -1x Simplifying 0 = -1 + -1x 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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