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Simplifying 0 = ln(x2 + -3x + 1) Reorder the terms: 0 = ln(1 + -3x + x2) 0 = (1 * ln + -3x * ln + x2 * ln) 0 = (1ln + -3lnx + lnx2) Solving 0 = 1ln + -3lnx + lnx2 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1ln' to each side of the equation. 0 + -1ln = 1ln + -3lnx + -1ln + lnx2 Remove the zero: -1ln = 1ln + -3lnx + -1ln + lnx2 Reorder the terms: -1ln = 1ln + -1ln + -3lnx + lnx2 Combine like terms: 1ln + -1ln = 0 -1ln = 0 + -3lnx + lnx2 -1ln = -3lnx + lnx2 Add '3lnx' to each side of the equation. -1ln + 3lnx = -3lnx + 3lnx + lnx2 Combine like terms: -3lnx + 3lnx = 0 -1ln + 3lnx = 0 + lnx2 -1ln + 3lnx = lnx2 Add '-1lnx2' to each side of the equation. -1ln + 3lnx + -1lnx2 = lnx2 + -1lnx2 Combine like terms: lnx2 + -1lnx2 = 0 -1ln + 3lnx + -1lnx2 = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-1 + 3x + -1x2) = 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 + -1x2)' equal to zero and attempt to solve: Simplifying -1 + 3x + -1x2 = 0 Solving -1 + 3x + -1x2 = 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 + -1x2 = 0 + 1 Reorder the terms: -1 + 1 + 3x + -1x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3x + -1x2 = 0 + 1 3x + -1x2 = 0 + 1 Combine like terms: 0 + 1 = 1 3x + -1x2 = 1 Add '-3x' to each side of the equation. 3x + -3x + -1x2 = 1 + -3x Combine like terms: 3x + -3x = 0 0 + -1x2 = 1 + -3x -1x2 = 1 + -3x Add 'x2' to each side of the equation. -1x2 + x2 = 1 + -3x + x2 Combine like terms: -1x2 + x2 = 0 0 = 1 + -3x + x2 Simplifying 0 = 1 + -3x + x2 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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