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Simplifying 7lnx + -14ln(x + 3) = 0 Reorder the terms: 7lnx + -14ln(3 + x) = 0 7lnx + (3 * -14ln + x * -14ln) = 0 7lnx + (-42ln + -14lnx) = 0 Reorder the terms: -42ln + 7lnx + -14lnx = 0 Combine like terms: 7lnx + -14lnx = -7lnx -42ln + -7lnx = 0 Solving -42ln + -7lnx = 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), '-7ln'. -7ln(6 + x) = 0 Ignore the factor -7.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 '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Add '-1x' to each side of the equation. x + -1x = -6 + -1x Combine like terms: x + -1x = 0 0 = -6 + -1x Simplifying 0 = -6 + -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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