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Simplifying ln(x2 + 5x + 1) = 0 Reorder the terms: ln(1 + 5x + x2) = 0 (1 * ln + 5x * ln + x2 * ln) = 0 (1ln + 5lnx + lnx2) = 0 Solving 1ln + 5lnx + 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(1 + 5x + x2) = 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 '(1 + 5x + x2)' equal to zero and attempt to solve: Simplifying 1 + 5x + x2 = 0 Solving 1 + 5x + x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 5x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 5x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x + x2 = 0 + -1 5x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 5x + x2 = -1 Add '-5x' to each side of the equation. 5x + -5x + x2 = -1 + -5x Combine like terms: 5x + -5x = 0 0 + x2 = -1 + -5x x2 = -1 + -5x Add '-1x2' to each side of the equation. x2 + -1x2 = -1 + -5x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -1 + -5x + -1x2 Simplifying 0 = -1 + -5x + -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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