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Simplifying 2log(x + -2) = log(x + -25) Reorder the terms: 2glo(-2 + x) = log(x + -25) (-2 * 2glo + x * 2glo) = log(x + -25) (-4glo + 2glox) = log(x + -25) Reorder the terms: -4glo + 2glox = glo(-25 + x) -4glo + 2glox = (-25 * glo + x * glo) -4glo + 2glox = (-25glo + glox) Solving -4glo + 2glox = -25glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '25glo' to each side of the equation. -4glo + 25glo + 2glox = -25glo + 25glo + glox Combine like terms: -4glo + 25glo = 21glo 21glo + 2glox = -25glo + 25glo + glox Combine like terms: -25glo + 25glo = 0 21glo + 2glox = 0 + glox 21glo + 2glox = glox Add '-1glox' to each side of the equation. 21glo + 2glox + -1glox = glox + -1glox Combine like terms: 2glox + -1glox = 1glox 21glo + 1glox = glox + -1glox Combine like terms: glox + -1glox = 0 21glo + 1glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(21 + x) = 0Subproblem 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 '(21 + x)' equal to zero and attempt to solve: Simplifying 21 + x = 0 Solving 21 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + x = 0 + -21 x = 0 + -21 Combine like terms: 0 + -21 = -21 x = -21 Add '-1x' to each side of the equation. x + -1x = -21 + -1x Combine like terms: x + -1x = 0 0 = -21 + -1x Simplifying 0 = -21 + -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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