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Simplifying ln(x + 2) + lnx = in(x + 12) Reorder the terms: ln(2 + x) + lnx = in(x + 12) (2 * ln + x * ln) + lnx = in(x + 12) (2ln + lnx) + lnx = in(x + 12) Combine like terms: lnx + lnx = 2lnx 2ln + 2lnx = in(x + 12) Reorder the terms: 2ln + 2lnx = in(12 + x) 2ln + 2lnx = (12 * in + x * in) 2ln + 2lnx = (12in + inx) Solving 2ln + 2lnx = 12in + inx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -12in + -1inx + 2ln + 2lnx = 12in + inx + -12in + -1inx Reorder the terms: -12in + -1inx + 2ln + 2lnx = 12in + -12in + inx + -1inx Combine like terms: 12in + -12in = 0 -12in + -1inx + 2ln + 2lnx = 0 + inx + -1inx -12in + -1inx + 2ln + 2lnx = inx + -1inx Combine like terms: inx + -1inx = 0 -12in + -1inx + 2ln + 2lnx = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-12i + -1ix + 2l + 2lx) = 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 '(-12i + -1ix + 2l + 2lx)' equal to zero and attempt to solve: Simplifying -12i + -1ix + 2l + 2lx = 0 Solving -12i + -1ix + 2l + 2lx = 0 Move all terms containing l to the left, all other terms to the right. Add '12i' to each side of the equation. -12i + -1ix + 2l + 12i + 2lx = 0 + 12i Reorder the terms: -12i + 12i + -1ix + 2l + 2lx = 0 + 12i Combine like terms: -12i + 12i = 0 0 + -1ix + 2l + 2lx = 0 + 12i -1ix + 2l + 2lx = 0 + 12i Remove the zero: -1ix + 2l + 2lx = 12i Add 'ix' to each side of the equation. -1ix + 2l + ix + 2lx = 12i + ix Reorder the terms: -1ix + ix + 2l + 2lx = 12i + ix Combine like terms: -1ix + ix = 0 0 + 2l + 2lx = 12i + ix 2l + 2lx = 12i + ix 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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