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Simplifying log(2)(x(2) + 3x + 3) + -1log(2)(2x + -3) = log(2)(2x + 1) Reorder the terms for easier multiplication: glo * 2(2x + 3x + 3) + -1log(2)(2x + -3) = log(2)(2x + 1) Reorder the terms: glo * 2(3 + 2x + 3x) + -1log(2)(2x + -3) = log(2)(2x + 1) Combine like terms: 2x + 3x = 5x glo * 2(3 + 5x) + -1log(2)(2x + -3) = log(2)(2x + 1) Reorder the terms for easier multiplication: 2glo(3 + 5x) + -1log(2)(2x + -3) = log(2)(2x + 1) (3 * 2glo + 5x * 2glo) + -1log(2)(2x + -3) = log(2)(2x + 1) (6glo + 10glox) + -1log(2)(2x + -3) = log(2)(2x + 1) Reorder the terms: 6glo + 10glox + -1glo * 2(-3 + 2x) = log(2)(2x + 1) Reorder the terms for easier multiplication: 6glo + 10glox + -1 * 2glo(-3 + 2x) = log(2)(2x + 1) Multiply -1 * 2 6glo + 10glox + -2glo(-3 + 2x) = log(2)(2x + 1) 6glo + 10glox + (-3 * -2glo + 2x * -2glo) = log(2)(2x + 1) 6glo + 10glox + (6glo + -4glox) = log(2)(2x + 1) Reorder the terms: 6glo + 6glo + 10glox + -4glox = log(2)(2x + 1) Combine like terms: 6glo + 6glo = 12glo 12glo + 10glox + -4glox = log(2)(2x + 1) Combine like terms: 10glox + -4glox = 6glox 12glo + 6glox = log(2)(2x + 1) Reorder the terms: 12glo + 6glox = glo * 2(1 + 2x) Reorder the terms for easier multiplication: 12glo + 6glox = 2glo(1 + 2x) 12glo + 6glox = (1 * 2glo + 2x * 2glo) 12glo + 6glox = (2glo + 4glox) Solving 12glo + 6glox = 2glo + 4glox 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. 12glo + -2glo + 6glox = 2glo + -2glo + 4glox Combine like terms: 12glo + -2glo = 10glo 10glo + 6glox = 2glo + -2glo + 4glox Combine like terms: 2glo + -2glo = 0 10glo + 6glox = 0 + 4glox 10glo + 6glox = 4glox Add '-4glox' to each side of the equation. 10glo + 6glox + -4glox = 4glox + -4glox Combine like terms: 6glox + -4glox = 2glox 10glo + 2glox = 4glox + -4glox Combine like terms: 4glox + -4glox = 0 10glo + 2glox = 0 Factor out the Greatest Common Factor (GCF), '2glo'. 2glo(5 + x) = 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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Add '-1x' to each side of the equation. x + -1x = -5 + -1x Combine like terms: x + -1x = 0 0 = -5 + -1x Simplifying 0 = -5 + -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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