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Simplifying In(x + -3) + In(x + -4) = In(7 + -1x) Reorder the terms: nI(-3 + x) + In(x + -4) = In(7 + -1x) (-3 * nI + x * nI) + In(x + -4) = In(7 + -1x) (-3nI + nxI) + In(x + -4) = In(7 + -1x) Reorder the terms: -3nI + nxI + nI(-4 + x) = In(7 + -1x) -3nI + nxI + (-4 * nI + x * nI) = In(7 + -1x) -3nI + nxI + (-4nI + nxI) = In(7 + -1x) Reorder the terms: -3nI + -4nI + nxI + nxI = In(7 + -1x) Combine like terms: -3nI + -4nI = -7nI -7nI + nxI + nxI = In(7 + -1x) Combine like terms: nxI + nxI = 2nxI -7nI + 2nxI = In(7 + -1x) -7nI + 2nxI = (7 * nI + -1x * nI) -7nI + 2nxI = (7nI + -1nxI) Solving -7nI + 2nxI = 7nI + -1nxI Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7nI' to each side of the equation. -7nI + -7nI + 2nxI = 7nI + -7nI + -1nxI Combine like terms: -7nI + -7nI = -14nI -14nI + 2nxI = 7nI + -7nI + -1nxI Combine like terms: 7nI + -7nI = 0 -14nI + 2nxI = 0 + -1nxI -14nI + 2nxI = -1nxI Add 'nxI' to each side of the equation. -14nI + 2nxI + nxI = -1nxI + nxI Combine like terms: 2nxI + nxI = 3nxI -14nI + 3nxI = -1nxI + nxI Combine like terms: -1nxI + nxI = 0 -14nI + 3nxI = 0 Factor out the Greatest Common Factor (GCF), 'nI'. nI(-14 + 3x) = 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 '(-14 + 3x)' equal to zero and attempt to solve: Simplifying -14 + 3x = 0 Solving -14 + 3x = 0 Move all terms containing n to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 3x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = 0 + 14 3x = 0 + 14 Combine like terms: 0 + 14 = 14 3x = 14 Add '-3x' to each side of the equation. 3x + -3x = 14 + -3x Combine like terms: 3x + -3x = 0 0 = 14 + -3x Simplifying 0 = 14 + -3x 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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