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Simplifying 9 + log(-5x + -2) = 9 Reorder the terms: 9 + glo(-2 + -5x) = 9 9 + (-2 * glo + -5x * glo) = 9 9 + (-2glo + -5glox) = 9 Add '-9' to each side of the equation. 9 + -2glo + -9 + -5glox = 9 + -9 Reorder the terms: 9 + -9 + -2glo + -5glox = 9 + -9 Combine like terms: 9 + -9 = 0 0 + -2glo + -5glox = 9 + -9 -2glo + -5glox = 9 + -9 Combine like terms: 9 + -9 = 0 -2glo + -5glox = 0 Solving -2glo + -5glox = 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), '-1glo'. -1glo(2 + 5x) = 0 Ignore the factor -1.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 '(2 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Add '-5x' to each side of the equation. 5x + -5x = -2 + -5x Combine like terms: 5x + -5x = 0 0 = -2 + -5x Simplifying 0 = -2 + -5x 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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