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Simplifying 4log(x + -4) = -2log(x + 1) Reorder the terms: 4glo(-4 + x) = -2log(x + 1) (-4 * 4glo + x * 4glo) = -2log(x + 1) (-16glo + 4glox) = -2log(x + 1) Reorder the terms: -16glo + 4glox = -2glo(1 + x) -16glo + 4glox = (1 * -2glo + x * -2glo) -16glo + 4glox = (-2glo + -2glox) Solving -16glo + 4glox = -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. -16glo + 2glo + 4glox = -2glo + 2glo + -2glox Combine like terms: -16glo + 2glo = -14glo -14glo + 4glox = -2glo + 2glo + -2glox Combine like terms: -2glo + 2glo = 0 -14glo + 4glox = 0 + -2glox -14glo + 4glox = -2glox Add '2glox' to each side of the equation. -14glo + 4glox + 2glox = -2glox + 2glox Combine like terms: 4glox + 2glox = 6glox -14glo + 6glox = -2glox + 2glox Combine like terms: -2glox + 2glox = 0 -14glo + 6glox = 0 Factor out the Greatest Common Factor (GCF), '2glo'. 2glo(-7 + 3x) = 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 '(-7 + 3x)' equal to zero and attempt to solve: Simplifying -7 + 3x = 0 Solving -7 + 3x = 0 Move all terms containing g to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 3x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 0 + 7 3x = 0 + 7 Combine like terms: 0 + 7 = 7 3x = 7 Add '-3x' to each side of the equation. 3x + -3x = 7 + -3x Combine like terms: 3x + -3x = 0 0 = 7 + -3x Simplifying 0 = 7 + -3x 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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