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Simplifying (4n + 4)(5n + -1g) = 0 Reorder the terms: (4 + 4n)(5n + -1g) = 0 Reorder the terms: (4 + 4n)(-1g + 5n) = 0 Multiply (4 + 4n) * (-1g + 5n) (4(-1g + 5n) + 4n * (-1g + 5n)) = 0 ((-1g * 4 + 5n * 4) + 4n * (-1g + 5n)) = 0 ((-4g + 20n) + 4n * (-1g + 5n)) = 0 (-4g + 20n + (-1g * 4n + 5n * 4n)) = 0 (-4g + 20n + (-4gn + 20n2)) = 0 Reorder the terms: (-4g + -4gn + 20n + 20n2) = 0 (-4g + -4gn + 20n + 20n2) = 0 Solving -4g + -4gn + 20n + 20n2 = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-20n' to each side of the equation. -4g + -4gn + 20n + -20n + 20n2 = 0 + -20n Combine like terms: 20n + -20n = 0 -4g + -4gn + 0 + 20n2 = 0 + -20n -4g + -4gn + 20n2 = 0 + -20n Remove the zero: -4g + -4gn + 20n2 = -20n Add '-20n2' to each side of the equation. -4g + -4gn + 20n2 + -20n2 = -20n + -20n2 Combine like terms: 20n2 + -20n2 = 0 -4g + -4gn + 0 = -20n + -20n2 -4g + -4gn = -20n + -20n2 Reorder the terms: -4g + -4gn + 20n + 20n2 = -20n + 20n + -20n2 + 20n2 Combine like terms: -20n + 20n = 0 -4g + -4gn + 20n + 20n2 = 0 + -20n2 + 20n2 -4g + -4gn + 20n + 20n2 = -20n2 + 20n2 Combine like terms: -20n2 + 20n2 = 0 -4g + -4gn + 20n + 20n2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-1g + -1gn + 5n + 5n2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1g + -1gn + 5n + 5n2)' equal to zero and attempt to solve: Simplifying -1g + -1gn + 5n + 5n2 = 0 Solving -1g + -1gn + 5n + 5n2 = 0 Move all terms containing g to the left, all other terms to the right. Add '-5n' to each side of the equation. -1g + -1gn + 5n + -5n + 5n2 = 0 + -5n Combine like terms: 5n + -5n = 0 -1g + -1gn + 0 + 5n2 = 0 + -5n -1g + -1gn + 5n2 = 0 + -5n Remove the zero: -1g + -1gn + 5n2 = -5n Add '-5n2' to each side of the equation. -1g + -1gn + 5n2 + -5n2 = -5n + -5n2 Combine like terms: 5n2 + -5n2 = 0 -1g + -1gn + 0 = -5n + -5n2 -1g + -1gn = -5n + -5n2 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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