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Simplifying log(-4x + -5) = log(3 + -2x) Reorder the terms: glo(-5 + -4x) = log(3 + -2x) (-5 * glo + -4x * glo) = log(3 + -2x) (-5glo + -4glox) = log(3 + -2x) -5glo + -4glox = (3 * glo + -2x * glo) -5glo + -4glox = (3glo + -2glox) Solving -5glo + -4glox = 3glo + -2glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3glo' to each side of the equation. -5glo + -3glo + -4glox = 3glo + -3glo + -2glox Combine like terms: -5glo + -3glo = -8glo -8glo + -4glox = 3glo + -3glo + -2glox Combine like terms: 3glo + -3glo = 0 -8glo + -4glox = 0 + -2glox -8glo + -4glox = -2glox Add '2glox' to each side of the equation. -8glo + -4glox + 2glox = -2glox + 2glox Combine like terms: -4glox + 2glox = -2glox -8glo + -2glox = -2glox + 2glox Combine like terms: -2glox + 2glox = 0 -8glo + -2glox = 0 Factor out the Greatest Common Factor (GCF), '-2glo'. -2glo(4 + 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 '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Add '-1x' to each side of the equation. x + -1x = -4 + -1x Combine like terms: x + -1x = 0 0 = -4 + -1x Simplifying 0 = -4 + -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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