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Simplifying log(16x + 2) + log(20x + -2) = log(319x2 + 9x + -2) Reorder the terms: glo(2 + 16x) + log(20x + -2) = log(319x2 + 9x + -2) (2 * glo + 16x * glo) + log(20x + -2) = log(319x2 + 9x + -2) (2glo + 16glox) + log(20x + -2) = log(319x2 + 9x + -2) Reorder the terms: 2glo + 16glox + glo(-2 + 20x) = log(319x2 + 9x + -2) 2glo + 16glox + (-2 * glo + 20x * glo) = log(319x2 + 9x + -2) 2glo + 16glox + (-2glo + 20glox) = log(319x2 + 9x + -2) Reorder the terms: 2glo + -2glo + 16glox + 20glox = log(319x2 + 9x + -2) Combine like terms: 2glo + -2glo = 0 0 + 16glox + 20glox = log(319x2 + 9x + -2) 16glox + 20glox = log(319x2 + 9x + -2) Combine like terms: 16glox + 20glox = 36glox 36glox = log(319x2 + 9x + -2) Reorder the terms: 36glox = glo(-2 + 9x + 319x2) 36glox = (-2 * glo + 9x * glo + 319x2 * glo) 36glox = (-2glo + 9glox + 319glox2) Solving 36glox = -2glo + 9glox + 319glox2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '2glo' to each side of the equation. 2glo + 36glox = -2glo + 9glox + 2glo + 319glox2 Reorder the terms: 2glo + 36glox = -2glo + 2glo + 9glox + 319glox2 Combine like terms: -2glo + 2glo = 0 2glo + 36glox = 0 + 9glox + 319glox2 2glo + 36glox = 9glox + 319glox2 Add '-9glox' to each side of the equation. 2glo + 36glox + -9glox = 9glox + -9glox + 319glox2 Combine like terms: 36glox + -9glox = 27glox 2glo + 27glox = 9glox + -9glox + 319glox2 Combine like terms: 9glox + -9glox = 0 2glo + 27glox = 0 + 319glox2 2glo + 27glox = 319glox2 Add '-319glox2' to each side of the equation. 2glo + 27glox + -319glox2 = 319glox2 + -319glox2 Combine like terms: 319glox2 + -319glox2 = 0 2glo + 27glox + -319glox2 = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(2 + 27x + -319x2) = 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 '(2 + 27x + -319x2)' equal to zero and attempt to solve: Simplifying 2 + 27x + -319x2 = 0 Solving 2 + 27x + -319x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 27x + -2 + -319x2 = 0 + -2 Reorder the terms: 2 + -2 + 27x + -319x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 27x + -319x2 = 0 + -2 27x + -319x2 = 0 + -2 Combine like terms: 0 + -2 = -2 27x + -319x2 = -2 Add '-27x' to each side of the equation. 27x + -27x + -319x2 = -2 + -27x Combine like terms: 27x + -27x = 0 0 + -319x2 = -2 + -27x -319x2 = -2 + -27x Add '319x2' to each side of the equation. -319x2 + 319x2 = -2 + -27x + 319x2 Combine like terms: -319x2 + 319x2 = 0 0 = -2 + -27x + 319x2 Simplifying 0 = -2 + -27x + 319x2 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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