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Simplifying 2log(6) * 2 = log(6)(4x + 6) Reorder the terms for easier multiplication: 2 * 6 * 2glo = log(6)(4x + 6) Multiply 2 * 6 12 * 2glo = log(6)(4x + 6) Multiply 12 * 2 24glo = log(6)(4x + 6) Reorder the terms: 24glo = glo * 6(6 + 4x) Reorder the terms for easier multiplication: 24glo = 6glo(6 + 4x) 24glo = (6 * 6glo + 4x * 6glo) 24glo = (36glo + 24glox) Solving 24glo = 36glo + 24glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-36glo' to each side of the equation. 24glo + -36glo = 36glo + -36glo + 24glox Combine like terms: 24glo + -36glo = -12glo -12glo = 36glo + -36glo + 24glox Combine like terms: 36glo + -36glo = 0 -12glo = 0 + 24glox -12glo = 24glox Add '-24glox' to each side of the equation. -12glo + -24glox = 24glox + -24glox Combine like terms: 24glox + -24glox = 0 -12glo + -24glox = 0 Factor out the Greatest Common Factor (GCF), '-12glo'. -12glo(1 + 2x) = 0 Ignore the factor -12.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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