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Simplifying g(x) = -1log(x + 2) Multiply g * x gx = -1log(x + 2) Reorder the terms: gx = -1glo(2 + x) gx = (2 * -1glo + x * -1glo) gx = (-2glo + -1glox) Solving gx = -2glo + -1glox 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 + gx = -2glo + 2glo + -1glox Combine like terms: -2glo + 2glo = 0 2glo + gx = 0 + -1glox 2glo + gx = -1glox Add 'glox' to each side of the equation. 2glo + glox + gx = -1glox + glox Combine like terms: -1glox + glox = 0 2glo + glox + gx = 0 Factor out the Greatest Common Factor (GCF), 'g'. g(2lo + lox + x) = 0Subproblem 1
Set the factor 'g' equal to zero and attempt to solve: Simplifying g = 0 Solving g = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g = 0Subproblem 2
Set the factor '(2lo + lox + x)' equal to zero and attempt to solve: Simplifying 2lo + lox + x = 0 Solving 2lo + lox + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-2lo' to each side of the equation. 2lo + lox + -2lo + x = 0 + -2lo Reorder the terms: 2lo + -2lo + lox + x = 0 + -2lo Combine like terms: 2lo + -2lo = 0 0 + lox + x = 0 + -2lo lox + x = 0 + -2lo Remove the zero: lox + x = -2lo Add '-1lox' to each side of the equation. lox + -1lox + x = -2lo + -1lox Combine like terms: lox + -1lox = 0 0 + x = -2lo + -1lox x = -2lo + -1lox Add '-1x' to each side of the equation. x + -1x = -2lo + -1lox + -1x Combine like terms: x + -1x = 0 0 = -2lo + -1lox + -1x Simplifying 0 = -2lo + -1lox + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
g = {0}
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