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Simplifying 2log(5 + -1x) + -10 = -6 (5 * 2glo + -1x * 2glo) + -10 = -6 (10glo + -2glox) + -10 = -6 Reorder the terms: -10 + 10glo + -2glox = -6 Solving -10 + 10glo + -2glox = -6 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10glo + 10 + -2glox = -6 + 10 Reorder the terms: -10 + 10 + 10glo + -2glox = -6 + 10 Combine like terms: -10 + 10 = 0 0 + 10glo + -2glox = -6 + 10 10glo + -2glox = -6 + 10 Combine like terms: -6 + 10 = 4 10glo + -2glox = 4 Reorder the terms: -4 + 10glo + -2glox = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 10glo + -2glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + 5glo + -1glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + 5glo + -1glox)' equal to zero and attempt to solve: Simplifying -2 + 5glo + -1glox = 0 Solving -2 + 5glo + -1glox = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 5glo + 2 + -1glox = 0 + 2 Reorder the terms: -2 + 2 + 5glo + -1glox = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5glo + -1glox = 0 + 2 5glo + -1glox = 0 + 2 Combine like terms: 0 + 2 = 2 5glo + -1glox = 2 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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