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Simplifying ln(2x2 + -10x + 9) = 0 Reorder the terms: ln(9 + -10x + 2x2) = 0 (9 * ln + -10x * ln + 2x2 * ln) = 0 (9ln + -10lnx + 2lnx2) = 0 Solving 9ln + -10lnx + 2lnx2 = 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(9 + -10x + 2x2) = 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 '(9 + -10x + 2x2)' equal to zero and attempt to solve: Simplifying 9 + -10x + 2x2 = 0 Solving 9 + -10x + 2x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -10x + -9 + 2x2 = 0 + -9 Reorder the terms: 9 + -9 + -10x + 2x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -10x + 2x2 = 0 + -9 -10x + 2x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -10x + 2x2 = -9 Add '10x' to each side of the equation. -10x + 10x + 2x2 = -9 + 10x Combine like terms: -10x + 10x = 0 0 + 2x2 = -9 + 10x 2x2 = -9 + 10x Add '-2x2' to each side of the equation. 2x2 + -2x2 = -9 + 10x + -2x2 Combine like terms: 2x2 + -2x2 = 0 0 = -9 + 10x + -2x2 Simplifying 0 = -9 + 10x + -2x2 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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