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Simplifying 0 = 2ln(x2 + -3x + 4) Reorder the terms: 0 = 2ln(4 + -3x + x2) 0 = (4 * 2ln + -3x * 2ln + x2 * 2ln) 0 = (8ln + -6lnx + 2lnx2) Solving 0 = 8ln + -6lnx + 2lnx2 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-8ln' to each side of the equation. 0 + -8ln = 8ln + -6lnx + -8ln + 2lnx2 Remove the zero: -8ln = 8ln + -6lnx + -8ln + 2lnx2 Reorder the terms: -8ln = 8ln + -8ln + -6lnx + 2lnx2 Combine like terms: 8ln + -8ln = 0 -8ln = 0 + -6lnx + 2lnx2 -8ln = -6lnx + 2lnx2 Add '6lnx' to each side of the equation. -8ln + 6lnx = -6lnx + 6lnx + 2lnx2 Combine like terms: -6lnx + 6lnx = 0 -8ln + 6lnx = 0 + 2lnx2 -8ln + 6lnx = 2lnx2 Add '-2lnx2' to each side of the equation. -8ln + 6lnx + -2lnx2 = 2lnx2 + -2lnx2 Combine like terms: 2lnx2 + -2lnx2 = 0 -8ln + 6lnx + -2lnx2 = 0 Factor out the Greatest Common Factor (GCF), '2ln'. 2ln(-4 + 3x + -1x2) = 0 Ignore the factor 2.Subproblem 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 '(-4 + 3x + -1x2)' equal to zero and attempt to solve: Simplifying -4 + 3x + -1x2 = 0 Solving -4 + 3x + -1x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 3x + 4 + -1x2 = 0 + 4 Reorder the terms: -4 + 4 + 3x + -1x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3x + -1x2 = 0 + 4 3x + -1x2 = 0 + 4 Combine like terms: 0 + 4 = 4 3x + -1x2 = 4 Add '-3x' to each side of the equation. 3x + -3x + -1x2 = 4 + -3x Combine like terms: 3x + -3x = 0 0 + -1x2 = 4 + -3x -1x2 = 4 + -3x Add 'x2' to each side of the equation. -1x2 + x2 = 4 + -3x + x2 Combine like terms: -1x2 + x2 = 0 0 = 4 + -3x + x2 Simplifying 0 = 4 + -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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