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Simplifying 5g + 6kg = g Solving 5g + 6gk = g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1g' to each side of the equation. 5g + -1g + 6gk = g + -1g Combine like terms: 5g + -1g = 4g 4g + 6gk = g + -1g Combine like terms: g + -1g = 0 4g + 6gk = 0 Factor out the Greatest Common Factor (GCF), '2g'. 2g(2 + 3k) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'g' equal to zero and attempt to solve: Simplifying g = 0 Solving g = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g = 0Subproblem 2
Set the factor '(2 + 3k)' equal to zero and attempt to solve: Simplifying 2 + 3k = 0 Solving 2 + 3k = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3k = 0 + -2 3k = 0 + -2 Combine like terms: 0 + -2 = -2 3k = -2 Add '-3k' to each side of the equation. 3k + -3k = -2 + -3k Combine like terms: 3k + -3k = 0 0 = -2 + -3k Simplifying 0 = -2 + -3k The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
g = {0}
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