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Simplifying ln(2x2 + 3x + 2) = 0 Reorder the terms: ln(2 + 3x + 2x2) = 0 (2 * ln + 3x * ln + 2x2 * ln) = 0 (2ln + 3lnx + 2lnx2) = 0 Solving 2ln + 3lnx + 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(2 + 3x + 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 '(2 + 3x + 2x2)' equal to zero and attempt to solve: Simplifying 2 + 3x + 2x2 = 0 Solving 2 + 3x + 2x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 3x + -2 + 2x2 = 0 + -2 Reorder the terms: 2 + -2 + 3x + 2x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x + 2x2 = 0 + -2 3x + 2x2 = 0 + -2 Combine like terms: 0 + -2 = -2 3x + 2x2 = -2 Add '-3x' to each side of the equation. 3x + -3x + 2x2 = -2 + -3x Combine like terms: 3x + -3x = 0 0 + 2x2 = -2 + -3x 2x2 = -2 + -3x Add '-2x2' to each side of the equation. 2x2 + -2x2 = -2 + -3x + -2x2 Combine like terms: 2x2 + -2x2 = 0 0 = -2 + -3x + -2x2 Simplifying 0 = -2 + -3x + -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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