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Simplifying (3x + 2) * log(4) + -1(x + 1) * log(7) = 0 Reorder the terms: (2 + 3x) * log(4) + -1(x + 1) * log(7) = 0 Reorder the terms for easier multiplication: 4glo(2 + 3x) + -1(x + 1) * log(7) = 0 (2 * 4glo + 3x * 4glo) + -1(x + 1) * log(7) = 0 (8glo + 12glox) + -1(x + 1) * log(7) = 0 Reorder the terms: 8glo + 12glox + -1(1 + x) * log(7) = 0 Reorder the terms for easier multiplication: 8glo + 12glox + -1 * 7glo(1 + x) = 0 Multiply -1 * 7 8glo + 12glox + -7glo(1 + x) = 0 8glo + 12glox + (1 * -7glo + x * -7glo) = 0 8glo + 12glox + (-7glo + -7glox) = 0 Reorder the terms: 8glo + -7glo + 12glox + -7glox = 0 Combine like terms: 8glo + -7glo = 1glo 1glo + 12glox + -7glox = 0 Combine like terms: 12glox + -7glox = 5glox 1glo + 5glox = 0 Solving 1glo + 5glox = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'glo'. glo(1 + 5x) = 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 '(1 + 5x)' equal to zero and attempt to solve: Simplifying 1 + 5x = 0 Solving 1 + 5x = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Add '-5x' to each side of the equation. 5x + -5x = -1 + -5x Combine like terms: 5x + -5x = 0 0 = -1 + -5x Simplifying 0 = -1 + -5x 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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