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Simplifying 2log(x + 2) = log(x + -2) + -1log(12) Reorder the terms: 2glo(2 + x) = log(x + -2) + -1log(12) (2 * 2glo + x * 2glo) = log(x + -2) + -1log(12) (4glo + 2glox) = log(x + -2) + -1log(12) Reorder the terms: 4glo + 2glox = glo(-2 + x) + -1log(12) 4glo + 2glox = (-2 * glo + x * glo) + -1log(12) 4glo + 2glox = (-2glo + glox) + -1log(12) Reorder the terms for easier multiplication: 4glo + 2glox = -2glo + glox + -1 * 12glo Multiply -1 * 12 4glo + 2glox = -2glo + glox + -12glo Reorder the terms: 4glo + 2glox = -2glo + -12glo + glox Combine like terms: -2glo + -12glo = -14glo 4glo + 2glox = -14glo + glox Solving 4glo + 2glox = -14glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '14glo' to each side of the equation. 4glo + 14glo + 2glox = -14glo + 14glo + glox Combine like terms: 4glo + 14glo = 18glo 18glo + 2glox = -14glo + 14glo + glox Combine like terms: -14glo + 14glo = 0 18glo + 2glox = 0 + glox 18glo + 2glox = glox Add '-1glox' to each side of the equation. 18glo + 2glox + -1glox = glox + -1glox Combine like terms: 2glox + -1glox = 1glox 18glo + 1glox = glox + -1glox Combine like terms: glox + -1glox = 0 18glo + 1glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(18 + x) = 0Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 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 '(18 + x)' equal to zero and attempt to solve: Simplifying 18 + x = 0 Solving 18 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + x = 0 + -18 x = 0 + -18 Combine like terms: 0 + -18 = -18 x = -18 Add '-1x' to each side of the equation. x + -1x = -18 + -1x Combine like terms: x + -1x = 0 0 = -18 + -1x Simplifying 0 = -18 + -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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