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Simplifying 0 = Ln(x + 57) Reorder the terms: 0 = nL(57 + x) 0 = (57 * nL + x * nL) 0 = (57nL + nxL) Solving 0 = 57nL + nxL Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-57nL' to each side of the equation. 0 + -57nL = 57nL + -57nL + nxL Remove the zero: -57nL = 57nL + -57nL + nxL Combine like terms: 57nL + -57nL = 0 -57nL = 0 + nxL -57nL = nxL Add '-1nxL' to each side of the equation. -57nL + -1nxL = nxL + -1nxL Combine like terms: nxL + -1nxL = 0 -57nL + -1nxL = 0 Factor out the Greatest Common Factor (GCF), '-1nL'. -1nL(57 + x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'nL' equal to zero and attempt to solve: Simplifying nL = 0 Solving nL = 0 Move all terms containing n to the left, all other terms to the right. Simplifying nL = 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 '(57 + x)' equal to zero and attempt to solve: Simplifying 57 + x = 0 Solving 57 + x = 0 Move all terms containing n to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + x = 0 + -57 Combine like terms: 57 + -57 = 0 0 + x = 0 + -57 x = 0 + -57 Combine like terms: 0 + -57 = -57 x = -57 Add '-1x' to each side of the equation. x + -1x = -57 + -1x Combine like terms: x + -1x = 0 0 = -57 + -1x Simplifying 0 = -57 + -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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