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