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Simplifying ln(x3 + 2x2 + -3) + -3ln(x) = 0 Reorder the terms: ln(-3 + 2x2 + x3) + -3ln(x) = 0 (-3 * ln + 2x2 * ln + x3 * ln) + -3ln(x) = 0 (-3ln + 2lnx2 + lnx3) + -3ln(x) = 0 Multiply ln * x -3ln + 2lnx2 + lnx3 + -3lnx = 0 Reorder the terms: -3ln + -3lnx + 2lnx2 + lnx3 = 0 Solving -3ln + -3lnx + 2lnx2 + lnx3 = 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(-3 + -3x + 2x2 + x3) = 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 '(-3 + -3x + 2x2 + x3)' equal to zero and attempt to solve: Simplifying -3 + -3x + 2x2 + x3 = 0 Solving -3 + -3x + 2x2 + x3 = 0 Move all terms containing l to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -3x + 2x2 + 3 + x3 = 0 + 3 Reorder the terms: -3 + 3 + -3x + 2x2 + x3 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -3x + 2x2 + x3 = 0 + 3 -3x + 2x2 + x3 = 0 + 3 Combine like terms: 0 + 3 = 3 -3x + 2x2 + x3 = 3 Add '3x' to each side of the equation. -3x + 2x2 + 3x + x3 = 3 + 3x Reorder the terms: -3x + 3x + 2x2 + x3 = 3 + 3x Combine like terms: -3x + 3x = 0 0 + 2x2 + x3 = 3 + 3x 2x2 + x3 = 3 + 3x Add '-2x2' to each side of the equation. 2x2 + -2x2 + x3 = 3 + 3x + -2x2 Combine like terms: 2x2 + -2x2 = 0 0 + x3 = 3 + 3x + -2x2 x3 = 3 + 3x + -2x2 Add '-1x3' to each side of the equation. x3 + -1x3 = 3 + 3x + -2x2 + -1x3 Combine like terms: x3 + -1x3 = 0 0 = 3 + 3x + -2x2 + -1x3 Simplifying 0 = 3 + 3x + -2x2 + -1x3 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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