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Simplifying 37k + -1k2 + km2 = 0 Reorder the terms: 37k + km2 + -1k2 = 0 Solving 37k + km2 + -1k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), 'k'. k(37 + m2 + -1k) = 0Subproblem 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 '(37 + m2 + -1k)' equal to zero and attempt to solve: Simplifying 37 + m2 + -1k = 0 Reorder the terms: 37 + -1k + m2 = 0 Solving 37 + -1k + m2 = 0 Move all terms containing k to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -1k + -37 + m2 = 0 + -37 Reorder the terms: 37 + -37 + -1k + m2 = 0 + -37 Combine like terms: 37 + -37 = 0 0 + -1k + m2 = 0 + -37 -1k + m2 = 0 + -37 Combine like terms: 0 + -37 = -37 -1k + m2 = -37 Add '-1m2' to each side of the equation. -1k + m2 + -1m2 = -37 + -1m2 Combine like terms: m2 + -1m2 = 0 -1k + 0 = -37 + -1m2 -1k = -37 + -1m2 Divide each side by '-1'. k = 37 + m2 Simplifying k = 37 + m2Solution
k = {0, 37 + m2}
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