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Simplifying log(x + -3) + log(x + 2) + -1log(x + 9) = 0 Reorder the terms: glo(-3 + x) + log(x + 2) + -1log(x + 9) = 0 (-3 * glo + x * glo) + log(x + 2) + -1log(x + 9) = 0 (-3glo + glox) + log(x + 2) + -1log(x + 9) = 0 Reorder the terms: -3glo + glox + glo(2 + x) + -1log(x + 9) = 0 -3glo + glox + (2 * glo + x * glo) + -1log(x + 9) = 0 -3glo + glox + (2glo + glox) + -1log(x + 9) = 0 Reorder the terms: -3glo + glox + 2glo + glox + -1glo(9 + x) = 0 -3glo + glox + 2glo + glox + (9 * -1glo + x * -1glo) = 0 -3glo + glox + 2glo + glox + (-9glo + -1glox) = 0 Reorder the terms: -3glo + 2glo + -9glo + glox + glox + -1glox = 0 Combine like terms: -3glo + 2glo = -1glo -1glo + -9glo + glox + glox + -1glox = 0 Combine like terms: -1glo + -9glo = -10glo -10glo + glox + glox + -1glox = 0 Combine like terms: glox + glox = 2glox -10glo + 2glox + -1glox = 0 Combine like terms: 2glox + -1glox = 1glox -10glo + 1glox = 0 Solving -10glo + 1glox = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'glo'. glo(-10 + 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 '(-10 + x)' equal to zero and attempt to solve: Simplifying -10 + x = 0 Solving -10 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + x = 0 + 10 x = 0 + 10 Combine like terms: 0 + 10 = 10 x = 10 Add '-1x' to each side of the equation. x + -1x = 10 + -1x Combine like terms: x + -1x = 0 0 = 10 + -1x Simplifying 0 = 10 + -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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