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Simplifying 0 = 4log(2)(6x + 8) Reorder the terms: 0 = 4glo * 2(8 + 6x) Reorder the terms for easier multiplication: 0 = 4 * 2glo(8 + 6x) Multiply 4 * 2 0 = 8glo(8 + 6x) 0 = (8 * 8glo + 6x * 8glo) 0 = (64glo + 48glox) Solving 0 = 64glo + 48glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-64glo' to each side of the equation. 0 + -64glo = 64glo + -64glo + 48glox Remove the zero: -64glo = 64glo + -64glo + 48glox Combine like terms: 64glo + -64glo = 0 -64glo = 0 + 48glox -64glo = 48glox Add '-48glox' to each side of the equation. -64glo + -48glox = 48glox + -48glox Combine like terms: 48glox + -48glox = 0 -64glo + -48glox = 0 Factor out the Greatest Common Factor (GCF), '-16glo'. -16glo(4 + 3x) = 0 Ignore the factor -16.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 '(4 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Add '-3x' to each side of the equation. 3x + -3x = -4 + -3x Combine like terms: 3x + -3x = 0 0 = -4 + -3x Simplifying 0 = -4 + -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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