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Simplifying log(x2 + -2x + 1) + -1log(x + -1) = log(8) Reorder the terms: glo(1 + -2x + x2) + -1log(x + -1) = log(8) (1 * glo + -2x * glo + x2 * glo) + -1log(x + -1) = log(8) (1glo + -2glox + glox2) + -1log(x + -1) = log(8) Reorder the terms: 1glo + -2glox + glox2 + -1glo(-1 + x) = log(8) 1glo + -2glox + glox2 + (-1 * -1glo + x * -1glo) = log(8) 1glo + -2glox + glox2 + (1glo + -1glox) = log(8) Reorder the terms: 1glo + 1glo + -2glox + -1glox + glox2 = log(8) Combine like terms: 1glo + 1glo = 2glo 2glo + -2glox + -1glox + glox2 = log(8) Combine like terms: -2glox + -1glox = -3glox 2glo + -3glox + glox2 = log(8) Reorder the terms for easier multiplication: 2glo + -3glox + glox2 = 8glo Solving 2glo + -3glox + glox2 = 8glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-8glo' to each side of the equation. 2glo + -3glox + -8glo + glox2 = 8glo + -8glo Reorder the terms: 2glo + -8glo + -3glox + glox2 = 8glo + -8glo Combine like terms: 2glo + -8glo = -6glo -6glo + -3glox + glox2 = 8glo + -8glo Combine like terms: 8glo + -8glo = 0 -6glo + -3glox + glox2 = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-6 + -3x + x2) = 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 '(-6 + -3x + x2)' equal to zero and attempt to solve: Simplifying -6 + -3x + x2 = 0 Solving -6 + -3x + x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -3x + 6 + x2 = 0 + 6 Reorder the terms: -6 + 6 + -3x + x2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -3x + x2 = 0 + 6 -3x + x2 = 0 + 6 Combine like terms: 0 + 6 = 6 -3x + x2 = 6 Add '3x' to each side of the equation. -3x + 3x + x2 = 6 + 3x Combine like terms: -3x + 3x = 0 0 + x2 = 6 + 3x x2 = 6 + 3x Add '-1x2' to each side of the equation. x2 + -1x2 = 6 + 3x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 6 + 3x + -1x2 Simplifying 0 = 6 + 3x + -1x2 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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