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Simplifying log(x + -5) + log(x + -2) = log(18) Reorder the terms: glo(-5 + x) + log(x + -2) = log(18) (-5 * glo + x * glo) + log(x + -2) = log(18) (-5glo + glox) + log(x + -2) = log(18) Reorder the terms: -5glo + glox + glo(-2 + x) = log(18) -5glo + glox + (-2 * glo + x * glo) = log(18) -5glo + glox + (-2glo + glox) = log(18) Reorder the terms: -5glo + -2glo + glox + glox = log(18) Combine like terms: -5glo + -2glo = -7glo -7glo + glox + glox = log(18) Combine like terms: glox + glox = 2glox -7glo + 2glox = log(18) Reorder the terms for easier multiplication: -7glo + 2glox = 18glo Solving -7glo + 2glox = 18glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-18glo' to each side of the equation. -7glo + -18glo + 2glox = 18glo + -18glo Combine like terms: -7glo + -18glo = -25glo -25glo + 2glox = 18glo + -18glo Combine like terms: 18glo + -18glo = 0 -25glo + 2glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-25 + 2x) = 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 '(-25 + 2x)' equal to zero and attempt to solve: Simplifying -25 + 2x = 0 Solving -25 + 2x = 0 Move all terms containing g to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 2x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 2x = 0 + 25 2x = 0 + 25 Combine like terms: 0 + 25 = 25 2x = 25 Add '-2x' to each side of the equation. 2x + -2x = 25 + -2x Combine like terms: 2x + -2x = 0 0 = 25 + -2x Simplifying 0 = 25 + -2x 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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