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Simplifying log(-1m + 9) = log(-2m + 1) Reorder the terms: glo(9 + -1m) = log(-2m + 1) (9 * glo + -1m * glo) = log(-2m + 1) Reorder the terms: (-1glmo + 9glo) = log(-2m + 1) (-1glmo + 9glo) = log(-2m + 1) Reorder the terms: -1glmo + 9glo = glo(1 + -2m) -1glmo + 9glo = (1 * glo + -2m * glo) Reorder the terms: -1glmo + 9glo = (-2glmo + 1glo) -1glmo + 9glo = (-2glmo + 1glo) Solving -1glmo + 9glo = -2glmo + 1glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '2glmo' to each side of the equation. -1glmo + 2glmo + 9glo = -2glmo + 2glmo + 1glo Combine like terms: -1glmo + 2glmo = 1glmo 1glmo + 9glo = -2glmo + 2glmo + 1glo Combine like terms: -2glmo + 2glmo = 0 1glmo + 9glo = 0 + 1glo 1glmo + 9glo = 1glo Add '-1glo' to each side of the equation. 1glmo + 9glo + -1glo = 1glo + -1glo Combine like terms: 9glo + -1glo = 8glo 1glmo + 8glo = 1glo + -1glo Combine like terms: 1glo + -1glo = 0 1glmo + 8glo = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(m + 8) = 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 '(m + 8)' equal to zero and attempt to solve: Simplifying m + 8 = 0 Reorder the terms: 8 + m = 0 Solving 8 + m = 0 Move all terms containing g to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + m = 0 + -8 m = 0 + -8 Combine like terms: 0 + -8 = -8 m = -8 Add '-1m' to each side of the equation. m + -1m = -8 + -1m Combine like terms: m + -1m = 0 0 = -8 + -1m Simplifying 0 = -8 + -1m 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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