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Simplifying on(x + 8) + ln(x + -1) = 2lnx Reorder the terms: no(8 + x) + ln(x + -1) = 2lnx (8 * no + x * no) + ln(x + -1) = 2lnx (8no + nox) + ln(x + -1) = 2lnx Reorder the terms: 8no + nox + ln(-1 + x) = 2lnx 8no + nox + (-1 * ln + x * ln) = 2lnx 8no + nox + (-1ln + lnx) = 2lnx Reorder the terms: -1ln + lnx + 8no + nox = 2lnx Solving -1ln + lnx + 8no + nox = 2lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2lnx' to each side of the equation. -1ln + lnx + 8no + -2lnx + nox = 2lnx + -2lnx Reorder the terms: -1ln + lnx + -2lnx + 8no + nox = 2lnx + -2lnx Combine like terms: lnx + -2lnx = -1lnx -1ln + -1lnx + 8no + nox = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 -1ln + -1lnx + 8no + nox = 0 Add '-8no' to each side of the equation. -1ln + -1lnx + 8no + -8no + nox = 0 + -8no Combine like terms: 8no + -8no = 0 -1ln + -1lnx + 0 + nox = 0 + -8no -1ln + -1lnx + nox = 0 + -8no Remove the zero: -1ln + -1lnx + nox = -8no Add '-1nox' to each side of the equation. -1ln + -1lnx + nox + -1nox = -8no + -1nox Combine like terms: nox + -1nox = 0 -1ln + -1lnx + 0 = -8no + -1nox -1ln + -1lnx = -8no + -1nox Reorder the terms: -1ln + -1lnx + 8no + nox = -8no + 8no + -1nox + nox Combine like terms: -8no + 8no = 0 -1ln + -1lnx + 8no + nox = 0 + -1nox + nox -1ln + -1lnx + 8no + nox = -1nox + nox Combine like terms: -1nox + nox = 0 -1ln + -1lnx + 8no + nox = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-1l + -1lx + 8o + 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 + -1lx + 8o + ox)' equal to zero and attempt to solve: Simplifying -1l + -1lx + 8o + ox = 0 Solving -1l + -1lx + 8o + ox = 0 Move all terms containing l to the left, all other terms to the right. Add '-8o' to each side of the equation. -1l + -1lx + 8o + -8o + ox = 0 + -8o Combine like terms: 8o + -8o = 0 -1l + -1lx + 0 + ox = 0 + -8o -1l + -1lx + ox = 0 + -8o Remove the zero: -1l + -1lx + ox = -8o Add '-1ox' to each side of the equation. -1l + -1lx + ox + -1ox = -8o + -1ox Combine like terms: ox + -1ox = 0 -1l + -1lx + 0 = -8o + -1ox -1l + -1lx = -8o + -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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