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Simplifying In(4x + -9) = Inx Reorder the terms: nI(-9 + 4x) = Inx (-9 * nI + 4x * nI) = Inx (-9nI + 4nxI) = Inx Solving -9nI + 4nxI = nxI Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1nxI' to each side of the equation. -9nI + 4nxI + -1nxI = nxI + -1nxI Combine like terms: 4nxI + -1nxI = 3nxI -9nI + 3nxI = nxI + -1nxI Combine like terms: nxI + -1nxI = 0 -9nI + 3nxI = 0 Factor out the Greatest Common Factor (GCF), '3nI'. 3nI(-3 + x) = 0 Ignore the factor 3.Subproblem 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 '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 0 Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Add '-1x' to each side of the equation. x + -1x = 3 + -1x Combine like terms: x + -1x = 0 0 = 3 + -1x Simplifying 0 = 3 + -1x 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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