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Simplifying In(x(x + 13)) = In(x) + In(x + 13) Reorder the terms: nI(x(13 + x)) = In(x) + In(x + 13) nI((13 * x + x * x)) = In(x) + In(x + 13) nI((13x + x2)) = In(x) + In(x + 13) (13x * nI + x2 * nI) = In(x) + In(x + 13) (13nxI + nx2I) = In(x) + In(x + 13) Multiply nI * x 13nxI + nx2I = nxI + In(x + 13) Reorder the terms: 13nxI + nx2I = nxI + nI(13 + x) 13nxI + nx2I = nxI + (13 * nI + x * nI) 13nxI + nx2I = nxI + (13nI + nxI) Reorder the terms: 13nxI + nx2I = 13nI + nxI + nxI Combine like terms: nxI + nxI = 2nxI 13nxI + nx2I = 13nI + 2nxI Solving 13nxI + nx2I = 13nI + 2nxI Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13nI' to each side of the equation. 13nxI + -13nI + nx2I = 13nI + -13nI + 2nxI Reorder the terms: -13nI + 13nxI + nx2I = 13nI + -13nI + 2nxI Combine like terms: 13nI + -13nI = 0 -13nI + 13nxI + nx2I = 0 + 2nxI -13nI + 13nxI + nx2I = 2nxI Add '-2nxI' to each side of the equation. -13nI + 13nxI + -2nxI + nx2I = 2nxI + -2nxI Combine like terms: 13nxI + -2nxI = 11nxI -13nI + 11nxI + nx2I = 2nxI + -2nxI Combine like terms: 2nxI + -2nxI = 0 -13nI + 11nxI + nx2I = 0 Factor out the Greatest Common Factor (GCF), 'nI'. nI(-13 + 11x + x2) = 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 '(-13 + 11x + x2)' equal to zero and attempt to solve: Simplifying -13 + 11x + x2 = 0 Solving -13 + 11x + x2 = 0 Move all terms containing n to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 11x + 13 + x2 = 0 + 13 Reorder the terms: -13 + 13 + 11x + x2 = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 11x + x2 = 0 + 13 11x + x2 = 0 + 13 Combine like terms: 0 + 13 = 13 11x + x2 = 13 Add '-11x' to each side of the equation. 11x + -11x + x2 = 13 + -11x Combine like terms: 11x + -11x = 0 0 + x2 = 13 + -11x x2 = 13 + -11x Add '-1x2' to each side of the equation. x2 + -1x2 = 13 + -11x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 13 + -11x + -1x2 Simplifying 0 = 13 + -11x + -1x2 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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