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Simplifying (2x + 4) * log * 8 = (2 + -3x) * log * 7 Reorder the terms: (4 + 2x) * log * 8 = (2 + -3x) * log * 7 Reorder the terms for easier multiplication: 8glo(4 + 2x) = (2 + -3x) * log * 7 (4 * 8glo + 2x * 8glo) = (2 + -3x) * log * 7 (32glo + 16glox) = (2 + -3x) * log * 7 Reorder the terms for easier multiplication: 32glo + 16glox = 7glo(2 + -3x) 32glo + 16glox = (2 * 7glo + -3x * 7glo) 32glo + 16glox = (14glo + -21glox) Solving 32glo + 16glox = 14glo + -21glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-14glo' to each side of the equation. 32glo + -14glo + 16glox = 14glo + -14glo + -21glox Combine like terms: 32glo + -14glo = 18glo 18glo + 16glox = 14glo + -14glo + -21glox Combine like terms: 14glo + -14glo = 0 18glo + 16glox = 0 + -21glox 18glo + 16glox = -21glox Add '21glox' to each side of the equation. 18glo + 16glox + 21glox = -21glox + 21glox Combine like terms: 16glox + 21glox = 37glox 18glo + 37glox = -21glox + 21glox Combine like terms: -21glox + 21glox = 0 18glo + 37glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(18 + 37x) = 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 '(18 + 37x)' equal to zero and attempt to solve: Simplifying 18 + 37x = 0 Solving 18 + 37x = 0 Move all terms containing g to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 37x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 37x = 0 + -18 37x = 0 + -18 Combine like terms: 0 + -18 = -18 37x = -18 Add '-37x' to each side of the equation. 37x + -37x = -18 + -37x Combine like terms: 37x + -37x = 0 0 = -18 + -37x Simplifying 0 = -18 + -37x 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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