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Simplifying log(1 + -10x) + 12log(1 + x) = 0 (1 * glo + -10x * glo) + 12log(1 + x) = 0 (1glo + -10glox) + 12log(1 + x) = 0 1glo + -10glox + (1 * 12glo + x * 12glo) = 0 1glo + -10glox + (12glo + 12glox) = 0 Reorder the terms: 1glo + 12glo + -10glox + 12glox = 0 Combine like terms: 1glo + 12glo = 13glo 13glo + -10glox + 12glox = 0 Combine like terms: -10glox + 12glox = 2glox 13glo + 2glox = 0 Solving 13glo + 2glox = 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(13 + 2x) = 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 '(13 + 2x)' equal to zero and attempt to solve: Simplifying 13 + 2x = 0 Solving 13 + 2x = 0 Move all terms containing g to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 2x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = 0 + -13 2x = 0 + -13 Combine like terms: 0 + -13 = -13 2x = -13 Add '-2x' to each side of the equation. 2x + -2x = -13 + -2x Combine like terms: 2x + -2x = 0 0 = -13 + -2x Simplifying 0 = -13 + -2x 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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