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Simplifying -8 + 2log(3)(3x + 5) = 2 Reorder the terms: -8 + 2glo * 3(5 + 3x) = 2 Reorder the terms for easier multiplication: -8 + 2 * 3glo(5 + 3x) = 2 Multiply 2 * 3 -8 + 6glo(5 + 3x) = 2 -8 + (5 * 6glo + 3x * 6glo) = 2 -8 + (30glo + 18glox) = 2 Solving -8 + 30glo + 18glox = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 30glo + 8 + 18glox = 2 + 8 Reorder the terms: -8 + 8 + 30glo + 18glox = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 30glo + 18glox = 2 + 8 30glo + 18glox = 2 + 8 Combine like terms: 2 + 8 = 10 30glo + 18glox = 10 Reorder the terms: -10 + 30glo + 18glox = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + 30glo + 18glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-5 + 15glo + 9glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + 15glo + 9glox)' equal to zero and attempt to solve: Simplifying -5 + 15glo + 9glox = 0 Solving -5 + 15glo + 9glox = 0 Move all terms containing g to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 15glo + 5 + 9glox = 0 + 5 Reorder the terms: -5 + 5 + 15glo + 9glox = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 15glo + 9glox = 0 + 5 15glo + 9glox = 0 + 5 Combine like terms: 0 + 5 = 5 15glo + 9glox = 5 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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