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Simplifying ln(x2 + 7x + -31) = 0 Reorder the terms: ln(-31 + 7x + x2) = 0 (-31 * ln + 7x * ln + x2 * ln) = 0 (-31ln + 7lnx + lnx2) = 0 Solving -31ln + 7lnx + 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(-31 + 7x + 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 '(-31 + 7x + x2)' equal to zero and attempt to solve: Simplifying -31 + 7x + x2 = 0 Solving -31 + 7x + x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 7x + 31 + x2 = 0 + 31 Reorder the terms: -31 + 31 + 7x + x2 = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 7x + x2 = 0 + 31 7x + x2 = 0 + 31 Combine like terms: 0 + 31 = 31 7x + x2 = 31 Add '-7x' to each side of the equation. 7x + -7x + x2 = 31 + -7x Combine like terms: 7x + -7x = 0 0 + x2 = 31 + -7x x2 = 31 + -7x Add '-1x2' to each side of the equation. x2 + -1x2 = 31 + -7x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 31 + -7x + -1x2 Simplifying 0 = 31 + -7x + -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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