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Simplifying ln(x2 + -10x + 26) = 0 Reorder the terms: ln(26 + -10x + x2) = 0 (26 * ln + -10x * ln + x2 * ln) = 0 (26ln + -10lnx + lnx2) = 0 Solving 26ln + -10lnx + 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(26 + -10x + 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 '(26 + -10x + x2)' equal to zero and attempt to solve: Simplifying 26 + -10x + x2 = 0 Solving 26 + -10x + x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -10x + -26 + x2 = 0 + -26 Reorder the terms: 26 + -26 + -10x + x2 = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -10x + x2 = 0 + -26 -10x + x2 = 0 + -26 Combine like terms: 0 + -26 = -26 -10x + x2 = -26 Add '10x' to each side of the equation. -10x + 10x + x2 = -26 + 10x Combine like terms: -10x + 10x = 0 0 + x2 = -26 + 10x x2 = -26 + 10x Add '-1x2' to each side of the equation. x2 + -1x2 = -26 + 10x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -26 + 10x + -1x2 Simplifying 0 = -26 + 10x + -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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