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Simplifying -1log(x + 9) + -1log(x + -9) = -2log Reorder the terms: -1glo(9 + x) + -1log(x + -9) = -2log (9 * -1glo + x * -1glo) + -1log(x + -9) = -2log (-9glo + -1glox) + -1log(x + -9) = -2log Reorder the terms: -9glo + -1glox + -1glo(-9 + x) = -2log -9glo + -1glox + (-9 * -1glo + x * -1glo) = -2log -9glo + -1glox + (9glo + -1glox) = -2log Reorder the terms: -9glo + 9glo + -1glox + -1glox = -2log Combine like terms: -9glo + 9glo = 0 0 + -1glox + -1glox = -2log -1glox + -1glox = -2log Combine like terms: -1glox + -1glox = -2glox -2glox = -2log Solving -2glox = -2glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '2glo' to each side of the equation. 2glo + -2glox = -2glo + 2glo Combine like terms: -2glo + 2glo = 0 2glo + -2glox = 0 Factor out the Greatest Common Factor (GCF), '2glo'. 2glo(1 + -1x) = 0 Ignore the factor 2.Subproblem 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 '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Add 'x' to each side of the equation. -1x + x = -1 + x Combine like terms: -1x + x = 0 0 = -1 + x Simplifying 0 = -1 + x 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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