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Simplifying ln(-1x) = ln(x2 + -72) Remove parenthesis around (-1x) ln * -1x = ln(x2 + -72) Reorder the terms for easier multiplication: -1ln * x = ln(x2 + -72) Multiply ln * x -1lnx = ln(x2 + -72) Reorder the terms: -1lnx = ln(-72 + x2) -1lnx = (-72 * ln + x2 * ln) -1lnx = (-72ln + lnx2) Solving -1lnx = -72ln + lnx2 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '72ln' to each side of the equation. 72ln + -1lnx = -72ln + 72ln + lnx2 Combine like terms: -72ln + 72ln = 0 72ln + -1lnx = 0 + lnx2 72ln + -1lnx = lnx2 Add '-1lnx2' to each side of the equation. 72ln + -1lnx + -1lnx2 = lnx2 + -1lnx2 Combine like terms: lnx2 + -1lnx2 = 0 72ln + -1lnx + -1lnx2 = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(72 + -1x + -1x2) = 0 Factor a trinomial. ln((8 + -1x)(9 + 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 '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing l to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Add 'x' to each side of the equation. -1x + x = -8 + x Combine like terms: -1x + x = 0 0 = -8 + x Simplifying 0 = -8 + x 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 '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Add '-1x' to each side of the equation. x + -1x = -9 + -1x Combine like terms: x + -1x = 0 0 = -9 + -1x Simplifying 0 = -9 + -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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