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Simplifying Ln(t2 + -6t + 9) = 0 Reorder the terms: nL(9 + -6t + t2) = 0 (9 * nL + -6t * nL + t2 * nL) = 0 (9nL + -6ntL + nt2L) = 0 Solving 9nL + -6ntL + nt2L = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'nL'. nL(9 + -6t + t2) = 0 Factor a trinomial. nL((3 + -1t)(3 + -1t)) = 0Subproblem 1
Set the factor 'nL' equal to zero and attempt to solve: Simplifying nL = 0 Solving nL = 0 Move all terms containing n to the left, all other terms to the right. Simplifying nL = 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 '(3 + -1t)' equal to zero and attempt to solve: Simplifying 3 + -1t = 0 Solving 3 + -1t = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1t = 0 + -3 -1t = 0 + -3 Combine like terms: 0 + -3 = -3 -1t = -3 Add 't' to each side of the equation. -1t + t = -3 + t Combine like terms: -1t + t = 0 0 = -3 + t Simplifying 0 = -3 + t 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 '(3 + -1t)' equal to zero and attempt to solve: Simplifying 3 + -1t = 0 Solving 3 + -1t = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1t = 0 + -3 -1t = 0 + -3 Combine like terms: 0 + -3 = -3 -1t = -3 Add 't' to each side of the equation. -1t + t = -3 + t Combine like terms: -1t + t = 0 0 = -3 + t Simplifying 0 = -3 + t 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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