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Simplifying (x + 14) * ln(x + 2) = 0 Reorder the terms: (14 + x) * ln(x + 2) = 0 Reorder the terms: (14 + x) * ln(2 + x) = 0 Reorder the terms for easier multiplication: ln(14 + x)(2 + x) = 0 Multiply (14 + x) * (2 + x) ln(14(2 + x) + x(2 + x)) = 0 ln((2 * 14 + x * 14) + x(2 + x)) = 0 ln((28 + 14x) + x(2 + x)) = 0 ln(28 + 14x + (2 * x + x * x)) = 0 ln(28 + 14x + (2x + x2)) = 0 Combine like terms: 14x + 2x = 16x ln(28 + 16x + x2) = 0 (28 * ln + 16x * ln + x2 * ln) = 0 (28ln + 16lnx + lnx2) = 0 Solving 28ln + 16lnx + lnx2 = 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(28 + 16x + x2) = 0 Factor a trinomial. ln((14 + x)(2 + x)) = 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 '(14 + x)' equal to zero and attempt to solve: Simplifying 14 + x = 0 Solving 14 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + x = 0 + -14 x = 0 + -14 Combine like terms: 0 + -14 = -14 x = -14 Add '-1x' to each side of the equation. x + -1x = -14 + -1x Combine like terms: x + -1x = 0 0 = -14 + -1x Simplifying 0 = -14 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Add '-1x' to each side of the equation. x + -1x = -2 + -1x Combine like terms: x + -1x = 0 0 = -2 + -1x Simplifying 0 = -2 + -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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