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Simplifying ln(x2 + -6x + 10) + 2 = 2 Reorder the terms: ln(10 + -6x + x2) + 2 = 2 (10 * ln + -6x * ln + x2 * ln) + 2 = 2 (10ln + -6lnx + lnx2) + 2 = 2 Reorder the terms: 2 + 10ln + -6lnx + lnx2 = 2 Add '-2' to each side of the equation. 2 + 10ln + -6lnx + -2 + lnx2 = 2 + -2 Reorder the terms: 2 + -2 + 10ln + -6lnx + lnx2 = 2 + -2 Combine like terms: 2 + -2 = 0 0 + 10ln + -6lnx + lnx2 = 2 + -2 10ln + -6lnx + lnx2 = 2 + -2 Combine like terms: 2 + -2 = 0 10ln + -6lnx + lnx2 = 0 Solving 10ln + -6lnx + 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(10 + -6x + 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 '(10 + -6x + x2)' equal to zero and attempt to solve: Simplifying 10 + -6x + x2 = 0 Solving 10 + -6x + x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -6x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + -6x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -6x + x2 = 0 + -10 -6x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 -6x + x2 = -10 Add '6x' to each side of the equation. -6x + 6x + x2 = -10 + 6x Combine like terms: -6x + 6x = 0 0 + x2 = -10 + 6x x2 = -10 + 6x Add '-1x2' to each side of the equation. x2 + -1x2 = -10 + 6x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -10 + 6x + -1x2 Simplifying 0 = -10 + 6x + -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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