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Simplifying on(x + 4) + -1ln(x + 1) = lnx Reorder the terms: no(4 + x) + -1ln(x + 1) = lnx (4 * no + x * no) + -1ln(x + 1) = lnx (4no + nox) + -1ln(x + 1) = lnx Reorder the terms: 4no + nox + -1ln(1 + x) = lnx 4no + nox + (1 * -1ln + x * -1ln) = lnx 4no + nox + (-1ln + -1lnx) = lnx Reorder the terms: -1ln + -1lnx + 4no + nox = lnx Solving -1ln + -1lnx + 4no + nox = lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1lnx' to each side of the equation. -1ln + -1lnx + 4no + -1lnx + nox = lnx + -1lnx Reorder the terms: -1ln + -1lnx + -1lnx + 4no + nox = lnx + -1lnx Combine like terms: -1lnx + -1lnx = -2lnx -1ln + -2lnx + 4no + nox = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 -1ln + -2lnx + 4no + nox = 0 Add '-4no' to each side of the equation. -1ln + -2lnx + 4no + -4no + nox = 0 + -4no Combine like terms: 4no + -4no = 0 -1ln + -2lnx + 0 + nox = 0 + -4no -1ln + -2lnx + nox = 0 + -4no Remove the zero: -1ln + -2lnx + nox = -4no Add '-1nox' to each side of the equation. -1ln + -2lnx + nox + -1nox = -4no + -1nox Combine like terms: nox + -1nox = 0 -1ln + -2lnx + 0 = -4no + -1nox -1ln + -2lnx = -4no + -1nox Reorder the terms: -1ln + -2lnx + 4no + nox = -4no + 4no + -1nox + nox Combine like terms: -4no + 4no = 0 -1ln + -2lnx + 4no + nox = 0 + -1nox + nox -1ln + -2lnx + 4no + nox = -1nox + nox Combine like terms: -1nox + nox = 0 -1ln + -2lnx + 4no + nox = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-1l + -2lx + 4o + ox) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing l to the left, all other terms to the right. Add '-1n' to each side of the equation. n + -1n = 0 + -1n Remove the zero: 0 = -1n Simplifying 0 = -1n 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 '(-1l + -2lx + 4o + ox)' equal to zero and attempt to solve: Simplifying -1l + -2lx + 4o + ox = 0 Solving -1l + -2lx + 4o + ox = 0 Move all terms containing l to the left, all other terms to the right. Add '-4o' to each side of the equation. -1l + -2lx + 4o + -4o + ox = 0 + -4o Combine like terms: 4o + -4o = 0 -1l + -2lx + 0 + ox = 0 + -4o -1l + -2lx + ox = 0 + -4o Remove the zero: -1l + -2lx + ox = -4o Add '-1ox' to each side of the equation. -1l + -2lx + ox + -1ox = -4o + -1ox Combine like terms: ox + -1ox = 0 -1l + -2lx + 0 = -4o + -1ox -1l + -2lx = -4o + -1ox 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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