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Simplifying (2x + 5) * log(2) = (x + -36) * log(3) Reorder the terms: (5 + 2x) * log(2) = (x + -36) * log(3) Reorder the terms for easier multiplication: 2glo(5 + 2x) = (x + -36) * log(3) (5 * 2glo + 2x * 2glo) = (x + -36) * log(3) (10glo + 4glox) = (x + -36) * log(3) Reorder the terms: 10glo + 4glox = (-36 + x) * log(3) Reorder the terms for easier multiplication: 10glo + 4glox = 3glo(-36 + x) 10glo + 4glox = (-36 * 3glo + x * 3glo) 10glo + 4glox = (-108glo + 3glox) Solving 10glo + 4glox = -108glo + 3glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '108glo' to each side of the equation. 10glo + 108glo + 4glox = -108glo + 108glo + 3glox Combine like terms: 10glo + 108glo = 118glo 118glo + 4glox = -108glo + 108glo + 3glox Combine like terms: -108glo + 108glo = 0 118glo + 4glox = 0 + 3glox 118glo + 4glox = 3glox Add '-3glox' to each side of the equation. 118glo + 4glox + -3glox = 3glox + -3glox Combine like terms: 4glox + -3glox = 1glox 118glo + 1glox = 3glox + -3glox Combine like terms: 3glox + -3glox = 0 118glo + 1glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(118 + 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 '(118 + x)' equal to zero and attempt to solve: Simplifying 118 + x = 0 Solving 118 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-118' to each side of the equation. 118 + -118 + x = 0 + -118 Combine like terms: 118 + -118 = 0 0 + x = 0 + -118 x = 0 + -118 Combine like terms: 0 + -118 = -118 x = -118 Add '-1x' to each side of the equation. x + -1x = -118 + -1x Combine like terms: x + -1x = 0 0 = -118 + -1x Simplifying 0 = -118 + -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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