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Simplifying 0 = 10ln(1 + x) 0 = (1 * 10ln + x * 10ln) 0 = (10ln + 10lnx) Solving 0 = 10ln + 10lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-10ln' to each side of the equation. 0 + -10ln = 10ln + -10ln + 10lnx Remove the zero: -10ln = 10ln + -10ln + 10lnx Combine like terms: 10ln + -10ln = 0 -10ln = 0 + 10lnx -10ln = 10lnx Add '-10lnx' to each side of the equation. -10ln + -10lnx = 10lnx + -10lnx Combine like terms: 10lnx + -10lnx = 0 -10ln + -10lnx = 0 Factor out the Greatest Common Factor (GCF), '-10ln'. -10ln(1 + x) = 0 Ignore the factor -10.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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