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Simplifying 2log(x + -12) = 4logx Reorder the terms: 2glo(-12 + x) = 4logx (-12 * 2glo + x * 2glo) = 4logx (-24glo + 2glox) = 4logx Solving -24glo + 2glox = 4glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4glox' to each side of the equation. -24glo + 2glox + -4glox = 4glox + -4glox Combine like terms: 2glox + -4glox = -2glox -24glo + -2glox = 4glox + -4glox Combine like terms: 4glox + -4glox = 0 -24glo + -2glox = 0 Factor out the Greatest Common Factor (GCF), '-2glo'. -2glo(12 + x) = 0 Ignore the factor -2.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 '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Add '-1x' to each side of the equation. x + -1x = -12 + -1x Combine like terms: x + -1x = 0 0 = -12 + -1x Simplifying 0 = -12 + -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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