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Simplifying log[2](-5x + -6) = 6 Reorder the terms: glo * 2(-6 + -5x) = 6 Reorder the terms for easier multiplication: 2glo(-6 + -5x) = 6 (-6 * 2glo + -5x * 2glo) = 6 (-12glo + -10glox) = 6 Solving -12glo + -10glox = 6 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -6 + -12glo + -10glox = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + -12glo + -10glox = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(3 + 6glo + 5glox) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(3 + 6glo + 5glox)' equal to zero and attempt to solve: Simplifying 3 + 6glo + 5glox = 0 Solving 3 + 6glo + 5glox = 0 Move all terms containing g to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 6glo + -3 + 5glox = 0 + -3 Reorder the terms: 3 + -3 + 6glo + 5glox = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 6glo + 5glox = 0 + -3 6glo + 5glox = 0 + -3 Combine like terms: 0 + -3 = -3 6glo + 5glox = -3 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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