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Simplifying log(x + -2) + log(x + -1) + -1log(5 + -1x) = 0 Reorder the terms: glo(-2 + x) + log(x + -1) + -1log(5 + -1x) = 0 (-2 * glo + x * glo) + log(x + -1) + -1log(5 + -1x) = 0 (-2glo + glox) + log(x + -1) + -1log(5 + -1x) = 0 Reorder the terms: -2glo + glox + glo(-1 + x) + -1log(5 + -1x) = 0 -2glo + glox + (-1 * glo + x * glo) + -1log(5 + -1x) = 0 -2glo + glox + (-1glo + glox) + -1log(5 + -1x) = 0 -2glo + glox + -1glo + glox + (5 * -1glo + -1x * -1glo) = 0 -2glo + glox + -1glo + glox + (-5glo + 1glox) = 0 Reorder the terms: -2glo + -1glo + -5glo + glox + glox + 1glox = 0 Combine like terms: -2glo + -1glo = -3glo -3glo + -5glo + glox + glox + 1glox = 0 Combine like terms: -3glo + -5glo = -8glo -8glo + glox + glox + 1glox = 0 Combine like terms: glox + glox = 2glox -8glo + 2glox + 1glox = 0 Combine like terms: 2glox + 1glox = 3glox -8glo + 3glox = 0 Solving -8glo + 3glox = 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(-8 + 3x) = 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 '(-8 + 3x)' equal to zero and attempt to solve: Simplifying -8 + 3x = 0 Solving -8 + 3x = 0 Move all terms containing g to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 3x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 0 + 8 3x = 0 + 8 Combine like terms: 0 + 8 = 8 3x = 8 Add '-3x' to each side of the equation. 3x + -3x = 8 + -3x Combine like terms: 3x + -3x = 0 0 = 8 + -3x Simplifying 0 = 8 + -3x 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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