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Simplifying 4In(x + 5) + -5Inx = 0 Reorder the terms: 4nI(5 + x) + -5Inx = 0 (5 * 4nI + x * 4nI) + -5Inx = 0 (20nI + 4nxI) + -5Inx = 0 Combine like terms: 4nxI + -5nxI = -1nxI 20nI + -1nxI = 0 Solving 20nI + -1nxI = 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(20 + -1x) = 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 '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing n to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Add 'x' to each side of the equation. -1x + x = -20 + x Combine like terms: -1x + x = 0 0 = -20 + x Simplifying 0 = -20 + x 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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