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Simplifying 2log(x + 2) + -1log(5x + 6) = 0 Reorder the terms: 2glo(2 + x) + -1log(5x + 6) = 0 (2 * 2glo + x * 2glo) + -1log(5x + 6) = 0 (4glo + 2glox) + -1log(5x + 6) = 0 Reorder the terms: 4glo + 2glox + -1glo(6 + 5x) = 0 4glo + 2glox + (6 * -1glo + 5x * -1glo) = 0 4glo + 2glox + (-6glo + -5glox) = 0 Reorder the terms: 4glo + -6glo + 2glox + -5glox = 0 Combine like terms: 4glo + -6glo = -2glo -2glo + 2glox + -5glox = 0 Combine like terms: 2glox + -5glox = -3glox -2glo + -3glox = 0 Solving -2glo + -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), '-1glo'. -1glo(2 + 3x) = 0 Ignore the factor -1.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 '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Add '-3x' to each side of the equation. 3x + -3x = -2 + -3x Combine like terms: 3x + -3x = 0 0 = -2 + -3x Simplifying 0 = -2 + -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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