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Simplifying (x + 2) * log(12) = (3x) * log(7) Reorder the terms: (2 + x) * log(12) = (3x) * log(7) Reorder the terms for easier multiplication: 12glo(2 + x) = (3x) * log(7) (2 * 12glo + x * 12glo) = (3x) * log(7) (24glo + 12glox) = (3x) * log(7) Remove parenthesis around (3x) 24glo + 12glox = 3x * log(7) Reorder the terms for easier multiplication: 24glo + 12glox = 3 * 7x * glo Multiply 3 * 7 24glo + 12glox = 21x * glo Multiply x * glo 24glo + 12glox = 21glox Solving 24glo + 12glox = 21glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-21glox' to each side of the equation. 24glo + 12glox + -21glox = 21glox + -21glox Combine like terms: 12glox + -21glox = -9glox 24glo + -9glox = 21glox + -21glox Combine like terms: 21glox + -21glox = 0 24glo + -9glox = 0 Factor out the Greatest Common Factor (GCF), '3glo'. 3glo(8 + -3x) = 0 Ignore the factor 3.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 '(8 + -3x)' equal to zero and attempt to solve: Simplifying 8 + -3x = 0 Solving 8 + -3x = 0 Move all terms containing g to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Add '3x' to each side of the equation. -3x + 3x = -8 + 3x Combine like terms: -3x + 3x = 0 0 = -8 + 3x Simplifying 0 = -8 + 3x 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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