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Simplifying 3gn = 3gn2 + 5(3gn) Remove parenthesis around (3gn) 3gn = 3gn2 + 5 * 3gn Multiply 5 * 3 3gn = 3gn2 + 15gn Reorder the terms: 3gn = 15gn + 3gn2 Solving 3gn = 15gn + 3gn2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-15gn' to each side of the equation. 3gn + -15gn = 15gn + -15gn + 3gn2 Combine like terms: 3gn + -15gn = -12gn -12gn = 15gn + -15gn + 3gn2 Combine like terms: 15gn + -15gn = 0 -12gn = 0 + 3gn2 -12gn = 3gn2 Add '-3gn2' to each side of the equation. -12gn + -3gn2 = 3gn2 + -3gn2 Combine like terms: 3gn2 + -3gn2 = 0 -12gn + -3gn2 = 0 Factor out the Greatest Common Factor (GCF), '-3gn'. -3gn(4 + n) = 0 Ignore the factor -3.Subproblem 1
Set the factor 'gn' equal to zero and attempt to solve: Simplifying gn = 0 Solving gn = 0 Move all terms containing g to the left, all other terms to the right. Simplifying gn = 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 + n)' equal to zero and attempt to solve: Simplifying 4 + n = 0 Solving 4 + n = 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 + n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + n = 0 + -4 n = 0 + -4 Combine like terms: 0 + -4 = -4 n = -4 Add '-1n' to each side of the equation. n + -1n = -4 + -1n Combine like terms: n + -1n = 0 0 = -4 + -1n Simplifying 0 = -4 + -1n 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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