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Simplifying 12log(5x + -2) = 16 Reorder the terms: 12glo(-2 + 5x) = 16 (-2 * 12glo + 5x * 12glo) = 16 (-24glo + 60glox) = 16 Solving -24glo + 60glox = 16 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -16 + -24glo + 60glox = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + -24glo + 60glox = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-4 + -6glo + 15glox) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-4 + -6glo + 15glox)' equal to zero and attempt to solve: Simplifying -4 + -6glo + 15glox = 0 Solving -4 + -6glo + 15glox = 0 Move all terms containing g to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -6glo + 4 + 15glox = 0 + 4 Reorder the terms: -4 + 4 + -6glo + 15glox = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -6glo + 15glox = 0 + 4 -6glo + 15glox = 0 + 4 Combine like terms: 0 + 4 = 4 -6glo + 15glox = 4 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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