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Simplifying Log[9] * x + Log[9](x + 6) = 0 Reorder the terms for easier multiplication: 9goL * x + Log[9](x + 6) = 0 Multiply goL * x 9goxL + Log[9](x + 6) = 0 Reorder the terms: 9goxL + goL * 9(6 + x) = 0 Reorder the terms for easier multiplication: 9goxL + 9goL(6 + x) = 0 9goxL + (6 * 9goL + x * 9goL) = 0 9goxL + (54goL + 9goxL) = 0 Reorder the terms: 54goL + 9goxL + 9goxL = 0 Combine like terms: 9goxL + 9goxL = 18goxL 54goL + 18goxL = 0 Solving 54goL + 18goxL = 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), '18goL'. 18goL(3 + x) = 0 Ignore the factor 18.Subproblem 1
Set the factor 'goL' equal to zero and attempt to solve: Simplifying goL = 0 Solving goL = 0 Move all terms containing g to the left, all other terms to the right. Simplifying goL = 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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Add '-1x' to each side of the equation. x + -1x = -3 + -1x Combine like terms: x + -1x = 0 0 = -3 + -1x Simplifying 0 = -3 + -1x 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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