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Simplifying log(9)(-2x + -5) = log(9)(9 + -1x) Reorder the terms: glo * 9(-5 + -2x) = log(9)(9 + -1x) Reorder the terms for easier multiplication: 9glo(-5 + -2x) = log(9)(9 + -1x) (-5 * 9glo + -2x * 9glo) = log(9)(9 + -1x) (-45glo + -18glox) = log(9)(9 + -1x) Reorder the terms for easier multiplication: -45glo + -18glox = 9glo(9 + -1x) -45glo + -18glox = (9 * 9glo + -1x * 9glo) -45glo + -18glox = (81glo + -9glox) Solving -45glo + -18glox = 81glo + -9glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-81glo' to each side of the equation. -45glo + -81glo + -18glox = 81glo + -81glo + -9glox Combine like terms: -45glo + -81glo = -126glo -126glo + -18glox = 81glo + -81glo + -9glox Combine like terms: 81glo + -81glo = 0 -126glo + -18glox = 0 + -9glox -126glo + -18glox = -9glox Add '9glox' to each side of the equation. -126glo + -18glox + 9glox = -9glox + 9glox Combine like terms: -18glox + 9glox = -9glox -126glo + -9glox = -9glox + 9glox Combine like terms: -9glox + 9glox = 0 -126glo + -9glox = 0 Factor out the Greatest Common Factor (GCF), '-9glo'. -9glo(14 + x) = 0 Ignore the factor -9.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 '(14 + x)' equal to zero and attempt to solve: Simplifying 14 + x = 0 Solving 14 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + x = 0 + -14 x = 0 + -14 Combine like terms: 0 + -14 = -14 x = -14 Add '-1x' to each side of the equation. x + -1x = -14 + -1x Combine like terms: x + -1x = 0 0 = -14 + -1x Simplifying 0 = -14 + -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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