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Simplifying log[3](2 + log[3](x + 5)) = 0 Reorder the terms: glo * 3(2 + glo * 3(5 + x)) = 0 Reorder the terms for easier multiplication: glo * 3(2 + 3glo(5 + x)) = 0 glo * 3(2 + (5 * 3glo + x * 3glo)) = 0 glo * 3(2 + (15glo + 3glox)) = 0 Reorder the terms for easier multiplication: 3glo(2 + 15glo + 3glox) = 0 (2 * 3glo + 15glo * 3glo + 3glox * 3glo) = 0 (6glo + 45g2l2o2 + 9g2l2o2x) = 0 Solving 6glo + 45g2l2o2 + 9g2l2o2x = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '3glo'. 3glo(2 + 15glo + 3glox) = 0 Ignore the factor 3.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 + 15glo + 3glox)' equal to zero and attempt to solve: Simplifying 2 + 15glo + 3glox = 0 Solving 2 + 15glo + 3glox = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 15glo + -2 + 3glox = 0 + -2 Reorder the terms: 2 + -2 + 15glo + 3glox = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 15glo + 3glox = 0 + -2 15glo + 3glox = 0 + -2 Combine like terms: 0 + -2 = -2 15glo + 3glox = -2 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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