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Simplifying 2mk + 7k + -3mk + -9k = 0 Reorder the terms: 7k + -9k + 2km + -3km = 0 Combine like terms: 7k + -9k = -2k -2k + 2km + -3km = 0 Combine like terms: 2km + -3km = -1km -2k + -1km = 0 Solving -2k + -1km = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '-1k'. -1k(2 + m) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'k' equal to zero and attempt to solve: Simplifying k = 0 Solving k = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k = 0Subproblem 2
Set the factor '(2 + m)' equal to zero and attempt to solve: Simplifying 2 + m = 0 Solving 2 + m = 0 Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + m = 0 + -2 m = 0 + -2 Combine like terms: 0 + -2 = -2 m = -2 Add '-1m' to each side of the equation. m + -1m = -2 + -1m Combine like terms: m + -1m = 0 0 = -2 + -1m Simplifying 0 = -2 + -1m The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
k = {0}
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