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Simplifying log(-3m + -1) = log(-4m + -6) Reorder the terms: glo(-1 + -3m) = log(-4m + -6) (-1 * glo + -3m * glo) = log(-4m + -6) Reorder the terms: (-3glmo + -1glo) = log(-4m + -6) (-3glmo + -1glo) = log(-4m + -6) Reorder the terms: -3glmo + -1glo = glo(-6 + -4m) -3glmo + -1glo = (-6 * glo + -4m * glo) Reorder the terms: -3glmo + -1glo = (-4glmo + -6glo) -3glmo + -1glo = (-4glmo + -6glo) Solving -3glmo + -1glo = -4glmo + -6glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '4glmo' to each side of the equation. -3glmo + 4glmo + -1glo = -4glmo + 4glmo + -6glo Combine like terms: -3glmo + 4glmo = 1glmo 1glmo + -1glo = -4glmo + 4glmo + -6glo Combine like terms: -4glmo + 4glmo = 0 1glmo + -1glo = 0 + -6glo 1glmo + -1glo = -6glo Add '6glo' to each side of the equation. 1glmo + -1glo + 6glo = -6glo + 6glo Combine like terms: -1glo + 6glo = 5glo 1glmo + 5glo = -6glo + 6glo Combine like terms: -6glo + 6glo = 0 1glmo + 5glo = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(m + 5) = 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 + 5)' equal to zero and attempt to solve: Simplifying m + 5 = 0 Reorder the terms: 5 + m = 0 Solving 5 + m = 0 Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + m = 0 + -5 m = 0 + -5 Combine like terms: 0 + -5 = -5 m = -5 Add '-1m' to each side of the equation. m + -1m = -5 + -1m Combine like terms: m + -1m = 0 0 = -5 + -1m Simplifying 0 = -5 + -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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