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Simplifying 2ln(x + 2) + ln(x + 3) + -2ln(y2 + 4) = 0 Reorder the terms: 2ln(2 + x) + ln(x + 3) + -2ln(y2 + 4) = 0 (2 * 2ln + x * 2ln) + ln(x + 3) + -2ln(y2 + 4) = 0 (4ln + 2lnx) + ln(x + 3) + -2ln(y2 + 4) = 0 Reorder the terms: 4ln + 2lnx + ln(3 + x) + -2ln(y2 + 4) = 0 4ln + 2lnx + (3 * ln + x * ln) + -2ln(y2 + 4) = 0 4ln + 2lnx + (3ln + lnx) + -2ln(y2 + 4) = 0 Reorder the terms: 4ln + 2lnx + 3ln + lnx + -2ln(4 + y2) = 0 4ln + 2lnx + 3ln + lnx + (4 * -2ln + y2 * -2ln) = 0 4ln + 2lnx + 3ln + lnx + (-8ln + -2lny2) = 0 Reorder the terms: 4ln + 3ln + -8ln + 2lnx + lnx + -2lny2 = 0 Combine like terms: 4ln + 3ln = 7ln 7ln + -8ln + 2lnx + lnx + -2lny2 = 0 Combine like terms: 7ln + -8ln = -1ln -1ln + 2lnx + lnx + -2lny2 = 0 Combine like terms: 2lnx + lnx = 3lnx -1ln + 3lnx + -2lny2 = 0 Solving -1ln + 3lnx + -2lny2 = 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 + -2y2) = 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 + -2y2)' equal to zero and attempt to solve: Simplifying -1 + 3x + -2y2 = 0 Solving -1 + 3x + -2y2 = 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 + 1 + -2y2 = 0 + 1 Reorder the terms: -1 + 1 + 3x + -2y2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3x + -2y2 = 0 + 1 3x + -2y2 = 0 + 1 Combine like terms: 0 + 1 = 1 3x + -2y2 = 1 Add '-3x' to each side of the equation. 3x + -3x + -2y2 = 1 + -3x Combine like terms: 3x + -3x = 0 0 + -2y2 = 1 + -3x -2y2 = 1 + -3x Add '2y2' to each side of the equation. -2y2 + 2y2 = 1 + -3x + 2y2 Combine like terms: -2y2 + 2y2 = 0 0 = 1 + -3x + 2y2 Simplifying 0 = 1 + -3x + 2y2 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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