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Simplifying (x + 2) * ln * 2 = (2x + -5) * ln * 6 Reorder the terms: (2 + x) * ln * 2 = (2x + -5) * ln * 6 Reorder the terms for easier multiplication: 2ln(2 + x) = (2x + -5) * ln * 6 (2 * 2ln + x * 2ln) = (2x + -5) * ln * 6 (4ln + 2lnx) = (2x + -5) * ln * 6 Reorder the terms: 4ln + 2lnx = (-5 + 2x) * ln * 6 Reorder the terms for easier multiplication: 4ln + 2lnx = 6ln(-5 + 2x) 4ln + 2lnx = (-5 * 6ln + 2x * 6ln) 4ln + 2lnx = (-30ln + 12lnx) Solving 4ln + 2lnx = -30ln + 12lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '30ln' to each side of the equation. 4ln + 30ln + 2lnx = -30ln + 30ln + 12lnx Combine like terms: 4ln + 30ln = 34ln 34ln + 2lnx = -30ln + 30ln + 12lnx Combine like terms: -30ln + 30ln = 0 34ln + 2lnx = 0 + 12lnx 34ln + 2lnx = 12lnx Add '-12lnx' to each side of the equation. 34ln + 2lnx + -12lnx = 12lnx + -12lnx Combine like terms: 2lnx + -12lnx = -10lnx 34ln + -10lnx = 12lnx + -12lnx Combine like terms: 12lnx + -12lnx = 0 34ln + -10lnx = 0 Factor out the Greatest Common Factor (GCF), '2ln'. 2ln(17 + -5x) = 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 '(17 + -5x)' equal to zero and attempt to solve: Simplifying 17 + -5x = 0 Solving 17 + -5x = 0 Move all terms containing l to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -5x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -5x = 0 + -17 -5x = 0 + -17 Combine like terms: 0 + -17 = -17 -5x = -17 Add '5x' to each side of the equation. -5x + 5x = -17 + 5x Combine like terms: -5x + 5x = 0 0 = -17 + 5x Simplifying 0 = -17 + 5x 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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