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Simplifying log(x) + log(x + 12) = log(x + -10) Multiply glo * x glox + log(x + 12) = log(x + -10) Reorder the terms: glox + glo(12 + x) = log(x + -10) glox + (12 * glo + x * glo) = log(x + -10) glox + (12glo + glox) = log(x + -10) Reorder the terms: 12glo + glox + glox = log(x + -10) Combine like terms: glox + glox = 2glox 12glo + 2glox = log(x + -10) Reorder the terms: 12glo + 2glox = glo(-10 + x) 12glo + 2glox = (-10 * glo + x * glo) 12glo + 2glox = (-10glo + glox) Solving 12glo + 2glox = -10glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '10glo' to each side of the equation. 12glo + 10glo + 2glox = -10glo + 10glo + glox Combine like terms: 12glo + 10glo = 22glo 22glo + 2glox = -10glo + 10glo + glox Combine like terms: -10glo + 10glo = 0 22glo + 2glox = 0 + glox 22glo + 2glox = glox Add '-1glox' to each side of the equation. 22glo + 2glox + -1glox = glox + -1glox Combine like terms: 2glox + -1glox = 1glox 22glo + 1glox = glox + -1glox Combine like terms: glox + -1glox = 0 22glo + 1glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(22 + x) = 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 '(22 + x)' equal to zero and attempt to solve: Simplifying 22 + x = 0 Solving 22 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + x = 0 + -22 x = 0 + -22 Combine like terms: 0 + -22 = -22 x = -22 Add '-1x' to each side of the equation. x + -1x = -22 + -1x Combine like terms: x + -1x = 0 0 = -22 + -1x Simplifying 0 = -22 + -1x 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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