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