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Simplifying log(x + 4) = log(5x + -5) Reorder the terms: glo(4 + x) = log(5x + -5) (4 * glo + x * glo) = log(5x + -5) (4glo + glox) = log(5x + -5) Reorder the terms: 4glo + glox = glo(-5 + 5x) 4glo + glox = (-5 * glo + 5x * glo) 4glo + glox = (-5glo + 5glox) Solving 4glo + glox = -5glo + 5glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '5glo' to each side of the equation. 4glo + 5glo + glox = -5glo + 5glo + 5glox Combine like terms: 4glo + 5glo = 9glo 9glo + glox = -5glo + 5glo + 5glox Combine like terms: -5glo + 5glo = 0 9glo + glox = 0 + 5glox 9glo + glox = 5glox Add '-5glox' to each side of the equation. 9glo + glox + -5glox = 5glox + -5glox Combine like terms: glox + -5glox = -4glox 9glo + -4glox = 5glox + -5glox Combine like terms: 5glox + -5glox = 0 9glo + -4glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(9 + -4x) = 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 '(9 + -4x)' equal to zero and attempt to solve: Simplifying 9 + -4x = 0 Solving 9 + -4x = 0 Move all terms containing g to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 0 + -9 -4x = 0 + -9 Combine like terms: 0 + -9 = -9 -4x = -9 Add '4x' to each side of the equation. -4x + 4x = -9 + 4x Combine like terms: -4x + 4x = 0 0 = -9 + 4x Simplifying 0 = -9 + 4x 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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