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Simplifying log(x + 2) + log(x + -2) = log(2x + -3) Reorder the terms: glo(2 + x) + log(x + -2) = log(2x + -3) (2 * glo + x * glo) + log(x + -2) = log(2x + -3) (2glo + glox) + log(x + -2) = log(2x + -3) Reorder the terms: 2glo + glox + glo(-2 + x) = log(2x + -3) 2glo + glox + (-2 * glo + x * glo) = log(2x + -3) 2glo + glox + (-2glo + glox) = log(2x + -3) Reorder the terms: 2glo + -2glo + glox + glox = log(2x + -3) Combine like terms: 2glo + -2glo = 0 0 + glox + glox = log(2x + -3) glox + glox = log(2x + -3) Combine like terms: glox + glox = 2glox 2glox = log(2x + -3) Reorder the terms: 2glox = glo(-3 + 2x) 2glox = (-3 * glo + 2x * glo) 2glox = (-3glo + 2glox) Add '-2glox' to each side of the equation. 2glox + -2glox = -3glo + 2glox + -2glox Combine like terms: 2glox + -2glox = 0 0 = -3glo + 2glox + -2glox Combine like terms: 2glox + -2glox = 0 0 = -3glo + 0 0 = -3glo Solving 0 = -3glo 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. 0 + 3glo = -3glo + 3glo Remove the zero: 3glo = -3glo + 3glo Combine like terms: -3glo + 3glo = 0 3glo = 0 Divide each side by '3'. glo = 0 Simplifying glo = 0 The solution to this equation could not be determined.
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