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Simplifying -2logx + -5log(x + 6) = 0 Reorder the terms: -2glox + -5glo(6 + x) = 0 -2glox + (6 * -5glo + x * -5glo) = 0 -2glox + (-30glo + -5glox) = 0 Reorder the terms: -30glo + -2glox + -5glox = 0 Combine like terms: -2glox + -5glox = -7glox -30glo + -7glox = 0 Solving -30glo + -7glox = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '-1glo'. -1glo(30 + 7x) = 0 Ignore the factor -1.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 '(30 + 7x)' equal to zero and attempt to solve: Simplifying 30 + 7x = 0 Solving 30 + 7x = 0 Move all terms containing g to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 7x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 7x = 0 + -30 7x = 0 + -30 Combine like terms: 0 + -30 = -30 7x = -30 Add '-7x' to each side of the equation. 7x + -7x = -30 + -7x Combine like terms: 7x + -7x = 0 0 = -30 + -7x Simplifying 0 = -30 + -7x 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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