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Simplifying (x + 2)(x + -3) + -1ln(16 + -1x2) = 0 Reorder the terms: (2 + x)(x + -3) + -1ln(16 + -1x2) = 0 Reorder the terms: (2 + x)(-3 + x) + -1ln(16 + -1x2) = 0 Multiply (2 + x) * (-3 + x) (2(-3 + x) + x(-3 + x)) + -1ln(16 + -1x2) = 0 ((-3 * 2 + x * 2) + x(-3 + x)) + -1ln(16 + -1x2) = 0 ((-6 + 2x) + x(-3 + x)) + -1ln(16 + -1x2) = 0 (-6 + 2x + (-3 * x + x * x)) + -1ln(16 + -1x2) = 0 (-6 + 2x + (-3x + x2)) + -1ln(16 + -1x2) = 0 Combine like terms: 2x + -3x = -1x (-6 + -1x + x2) + -1ln(16 + -1x2) = 0 -6 + -1x + x2 + (16 * -1ln + -1x2 * -1ln) = 0 -6 + -1x + x2 + (-16ln + 1lnx2) = 0 Reorder the terms: -6 + -16ln + 1lnx2 + -1x + x2 = 0 Solving -6 + -16ln + 1lnx2 + -1x + x2 = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -16ln + 1lnx2 + -1x + 6 + x2 = 0 + 6 Reorder the terms: -6 + 6 + -16ln + 1lnx2 + -1x + x2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -16ln + 1lnx2 + -1x + x2 = 0 + 6 -16ln + 1lnx2 + -1x + x2 = 0 + 6 Combine like terms: 0 + 6 = 6 -16ln + 1lnx2 + -1x + x2 = 6 Add 'x' to each side of the equation. -16ln + 1lnx2 + -1x + x + x2 = 6 + x Combine like terms: -1x + x = 0 -16ln + 1lnx2 + 0 + x2 = 6 + x -16ln + 1lnx2 + x2 = 6 + x Add '-1x2' to each side of the equation. -16ln + 1lnx2 + x2 + -1x2 = 6 + x + -1x2 Combine like terms: x2 + -1x2 = 0 -16ln + 1lnx2 + 0 = 6 + x + -1x2 -16ln + 1lnx2 = 6 + x + -1x2 Reorder the terms: -6 + -16ln + 1lnx2 + -1x + x2 = 6 + x + -1x2 + -6 + -1x + x2 Reorder the terms: -6 + -16ln + 1lnx2 + -1x + x2 = 6 + -6 + x + -1x + -1x2 + x2 Combine like terms: 6 + -6 = 0 -6 + -16ln + 1lnx2 + -1x + x2 = 0 + x + -1x + -1x2 + x2 -6 + -16ln + 1lnx2 + -1x + x2 = x + -1x + -1x2 + x2 Combine like terms: x + -1x = 0 -6 + -16ln + 1lnx2 + -1x + x2 = 0 + -1x2 + x2 -6 + -16ln + 1lnx2 + -1x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -6 + -16ln + 1lnx2 + -1x + x2 = 0 The solution to this equation could not be determined.
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