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Simplifying log[3](x2 + -6x + 6) = 0 Reorder the terms: glo * 3(6 + -6x + x2) = 0 Reorder the terms for easier multiplication: 3glo(6 + -6x + x2) = 0 (6 * 3glo + -6x * 3glo + x2 * 3glo) = 0 (18glo + -18glox + 3glox2) = 0 Solving 18glo + -18glox + 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(6 + -6x + 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 '(6 + -6x + x2)' equal to zero and attempt to solve: Simplifying 6 + -6x + x2 = 0 Solving 6 + -6x + x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6x + -6 + x2 = 0 + -6 Reorder the terms: 6 + -6 + -6x + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -6x + x2 = 0 + -6 -6x + x2 = 0 + -6 Combine like terms: 0 + -6 = -6 -6x + x2 = -6 Add '6x' to each side of the equation. -6x + 6x + x2 = -6 + 6x Combine like terms: -6x + 6x = 0 0 + x2 = -6 + 6x x2 = -6 + 6x Add '-1x2' to each side of the equation. x2 + -1x2 = -6 + 6x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -6 + 6x + -1x2 Simplifying 0 = -6 + 6x + -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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