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Simplifying log(-2x) = 2log(x + 1) Remove parenthesis around (-2x) glo * -2x = 2log(x + 1) Reorder the terms for easier multiplication: -2glo * x = 2log(x + 1) Multiply glo * x -2glox = 2log(x + 1) Reorder the terms: -2glox = 2glo(1 + x) -2glox = (1 * 2glo + x * 2glo) -2glox = (2glo + 2glox) Solving -2glox = 2glo + 2glox 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 + -2glox = 2glo + -2glo + 2glox Combine like terms: 2glo + -2glo = 0 -2glo + -2glox = 0 + 2glox -2glo + -2glox = 2glox Add '-2glox' to each side of the equation. -2glo + -2glox + -2glox = 2glox + -2glox Combine like terms: -2glox + -2glox = -4glox -2glo + -4glox = 2glox + -2glox Combine like terms: 2glox + -2glox = 0 -2glo + -4glox = 0 Factor out the Greatest Common Factor (GCF), '-2glo'. -2glo(1 + 2x) = 0 Ignore the factor -2.Subproblem 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 '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Add '-2x' to each side of the equation. 2x + -2x = -1 + -2x Combine like terms: 2x + -2x = 0 0 = -1 + -2x Simplifying 0 = -1 + -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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