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Simplifying (3x2 + -4) + ln(x2 + 1) = ln(2 + -1x2) Reorder the terms: (-4 + 3x2) + ln(x2 + 1) = ln(2 + -1x2) Remove parenthesis around (-4 + 3x2) -4 + 3x2 + ln(x2 + 1) = ln(2 + -1x2) Reorder the terms: -4 + 3x2 + ln(1 + x2) = ln(2 + -1x2) -4 + 3x2 + (1 * ln + x2 * ln) = ln(2 + -1x2) -4 + 3x2 + (1ln + lnx2) = ln(2 + -1x2) Reorder the terms: -4 + 1ln + lnx2 + 3x2 = ln(2 + -1x2) -4 + 1ln + lnx2 + 3x2 = (2 * ln + -1x2 * ln) -4 + 1ln + lnx2 + 3x2 = (2ln + -1lnx2) Solving -4 + 1ln + lnx2 + 3x2 = 2ln + -1lnx2 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2ln' to each side of the equation. -4 + 1ln + lnx2 + -2ln + 3x2 = 2ln + -2ln + -1lnx2 Reorder the terms: -4 + 1ln + -2ln + lnx2 + 3x2 = 2ln + -2ln + -1lnx2 Combine like terms: 1ln + -2ln = -1ln -4 + -1ln + lnx2 + 3x2 = 2ln + -2ln + -1lnx2 Combine like terms: 2ln + -2ln = 0 -4 + -1ln + lnx2 + 3x2 = 0 + -1lnx2 -4 + -1ln + lnx2 + 3x2 = -1lnx2 Add 'lnx2' to each side of the equation. -4 + -1ln + lnx2 + lnx2 + 3x2 = -1lnx2 + lnx2 Combine like terms: lnx2 + lnx2 = 2lnx2 -4 + -1ln + 2lnx2 + 3x2 = -1lnx2 + lnx2 Combine like terms: -1lnx2 + lnx2 = 0 -4 + -1ln + 2lnx2 + 3x2 = 0 Add '4' to each side of the equation. -4 + -1ln + 2lnx2 + 4 + 3x2 = 0 + 4 Reorder the terms: -4 + 4 + -1ln + 2lnx2 + 3x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1ln + 2lnx2 + 3x2 = 0 + 4 -1ln + 2lnx2 + 3x2 = 0 + 4 Combine like terms: 0 + 4 = 4 -1ln + 2lnx2 + 3x2 = 4 Add '-3x2' to each side of the equation. -1ln + 2lnx2 + 3x2 + -3x2 = 4 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -1ln + 2lnx2 + 0 = 4 + -3x2 -1ln + 2lnx2 = 4 + -3x2 Reorder the terms: -4 + -1ln + 2lnx2 + 3x2 = 4 + -3x2 + -4 + 3x2 Reorder the terms: -4 + -1ln + 2lnx2 + 3x2 = 4 + -4 + -3x2 + 3x2 Combine like terms: 4 + -4 = 0 -4 + -1ln + 2lnx2 + 3x2 = 0 + -3x2 + 3x2 -4 + -1ln + 2lnx2 + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 -4 + -1ln + 2lnx2 + 3x2 = 0 The solution to this equation could not be determined.
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