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Simplifying In(2x + 5) + -1In(4) = 0 Reorder the terms: nI(5 + 2x) + -1In(4) = 0 (5 * nI + 2x * nI) + -1In(4) = 0 (5nI + 2nxI) + -1In(4) = 0 Reorder the terms for easier multiplication: 5nI + 2nxI + -1 * 4nI = 0 Multiply -1 * 4 5nI + 2nxI + -4nI = 0 Reorder the terms: 5nI + -4nI + 2nxI = 0 Combine like terms: 5nI + -4nI = 1nI 1nI + 2nxI = 0 Solving 1nI + 2nxI = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'nI'. nI(1 + 2x) = 0Subproblem 1
Set the factor 'nI' equal to zero and attempt to solve: Simplifying nI = 0 Solving nI = 0 Move all terms containing n to the left, all other terms to the right. Simplifying nI = 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 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Add '-2x' to each side of the equation. 2x + -2x = -1 + -2x Combine like terms: 2x + -2x = 0 0 = -1 + -2x Simplifying 0 = -1 + -2x 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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