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Simplifying 3ln(X) + -2ln(X2) + ln(x + 1) = 0 Multiply ln * X 3lnX + -2ln(X2) + ln(x + 1) = 0 Multiply ln * X2 3lnX + -2lnX2 + ln(x + 1) = 0 Reorder the terms: 3lnX + -2lnX2 + ln(1 + x) = 0 3lnX + -2lnX2 + (1 * ln + x * ln) = 0 3lnX + -2lnX2 + (1ln + lnx) = 0 Reorder the terms: 1ln + 3lnX + -2lnX2 + lnx = 0 Solving 1ln + 3lnX + -2lnX2 + lnx = 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(1 + 3X + -2X2 + x) = 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 '(1 + 3X + -2X2 + x)' equal to zero and attempt to solve: Simplifying 1 + 3X + -2X2 + x = 0 Solving 1 + 3X + -2X2 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 3X + -2X2 + -1 + x = 0 + -1 Reorder the terms: 1 + -1 + 3X + -2X2 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3X + -2X2 + x = 0 + -1 3X + -2X2 + x = 0 + -1 Combine like terms: 0 + -1 = -1 3X + -2X2 + x = -1 Add '-3X' to each side of the equation. 3X + -2X2 + -3X + x = -1 + -3X Reorder the terms: 3X + -3X + -2X2 + x = -1 + -3X Combine like terms: 3X + -3X = 0 0 + -2X2 + x = -1 + -3X -2X2 + x = -1 + -3X Add '2X2' to each side of the equation. -2X2 + 2X2 + x = -1 + -3X + 2X2 Combine like terms: -2X2 + 2X2 = 0 0 + x = -1 + -3X + 2X2 x = -1 + -3X + 2X2 Add '-1x' to each side of the equation. x + -1x = -1 + -3X + 2X2 + -1x Combine like terms: x + -1x = 0 0 = -1 + -3X + 2X2 + -1x Simplifying 0 = -1 + -3X + 2X2 + -1x 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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