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