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Simplifying k2 + 45k = 0 Reorder the terms: 45k + k2 = 0 Solving 45k + k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), 'k'. k(45 + k) = 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 '(45 + k)' equal to zero and attempt to solve: Simplifying 45 + k = 0 Solving 45 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + k = 0 + -45 Combine like terms: 45 + -45 = 0 0 + k = 0 + -45 k = 0 + -45 Combine like terms: 0 + -45 = -45 k = -45 Simplifying k = -45Solution
k = {0, -45}
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