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Simplifying log[3](x2) + log[3](x + -3) = 0 Reorder the terms for easier multiplication: 3glo * x2 + log[3](x + -3) = 0 Multiply glo * x2 3glox2 + log[3](x + -3) = 0 Reorder the terms: 3glox2 + glo * 3(-3 + x) = 0 Reorder the terms for easier multiplication: 3glox2 + 3glo(-3 + x) = 0 3glox2 + (-3 * 3glo + x * 3glo) = 0 3glox2 + (-9glo + 3glox) = 0 Reorder the terms: -9glo + 3glox + 3glox2 = 0 Solving -9glo + 3glox + 3glox2 = 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(-3 + x + x2) = 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 '(-3 + x + x2)' equal to zero and attempt to solve: Simplifying -3 + x + x2 = 0 Solving -3 + x + x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + x + 3 + x2 = 0 + 3 Reorder the terms: -3 + 3 + x + x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x + x2 = 0 + 3 x + x2 = 0 + 3 Combine like terms: 0 + 3 = 3 x + x2 = 3 Add '-1x' to each side of the equation. x + -1x + x2 = 3 + -1x Combine like terms: x + -1x = 0 0 + x2 = 3 + -1x x2 = 3 + -1x Add '-1x2' to each side of the equation. x2 + -1x2 = 3 + -1x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 3 + -1x + -1x2 Simplifying 0 = 3 + -1x + -1x2 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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