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Simplifying log[12](2x + -6) + 2 = 0 Reorder the terms: glo * 12(-6 + 2x) + 2 = 0 Reorder the terms for easier multiplication: 12glo(-6 + 2x) + 2 = 0 (-6 * 12glo + 2x * 12glo) + 2 = 0 (-72glo + 24glox) + 2 = 0 Reorder the terms: 2 + -72glo + 24glox = 0 Solving 2 + -72glo + 24glox = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -72glo + -2 + 24glox = 0 + -2 Reorder the terms: 2 + -2 + -72glo + 24glox = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -72glo + 24glox = 0 + -2 -72glo + 24glox = 0 + -2 Combine like terms: 0 + -2 = -2 -72glo + 24glox = -2 Reorder the terms: 2 + -72glo + 24glox = -2 + 2 Combine like terms: -2 + 2 = 0 2 + -72glo + 24glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(1 + -36glo + 12glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -36glo + 12glox)' equal to zero and attempt to solve: Simplifying 1 + -36glo + 12glox = 0 Solving 1 + -36glo + 12glox = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -36glo + -1 + 12glox = 0 + -1 Reorder the terms: 1 + -1 + -36glo + 12glox = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -36glo + 12glox = 0 + -1 -36glo + 12glox = 0 + -1 Combine like terms: 0 + -1 = -1 -36glo + 12glox = -1 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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