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Simplifying Inx + In(x + -5) = In(7x) Reorder the terms: nxI + nI(-5 + x) = In(7x) nxI + (-5 * nI + x * nI) = In(7x) nxI + (-5nI + nxI) = In(7x) Reorder the terms: -5nI + nxI + nxI = In(7x) Combine like terms: nxI + nxI = 2nxI -5nI + 2nxI = In(7x) Remove parenthesis around (7x) -5nI + 2nxI = nI * 7x Reorder the terms for easier multiplication: -5nI + 2nxI = 7nI * x Multiply nI * x -5nI + 2nxI = 7nxI Solving -5nI + 2nxI = 7nxI Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7nxI' to each side of the equation. -5nI + 2nxI + -7nxI = 7nxI + -7nxI Combine like terms: 2nxI + -7nxI = -5nxI -5nI + -5nxI = 7nxI + -7nxI Combine like terms: 7nxI + -7nxI = 0 -5nI + -5nxI = 0 Factor out the Greatest Common Factor (GCF), '-5nI'. -5nI(1 + x) = 0 Ignore the factor -5.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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Add '-1x' to each side of the equation. x + -1x = -1 + -1x Combine like terms: x + -1x = 0 0 = -1 + -1x Simplifying 0 = -1 + -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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