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Simplifying 7k2 = -49k Solving 7k2 = -49k Solving for variable 'k'. Reorder the terms: 49k + 7k2 = -49k + 49k Combine like terms: -49k + 49k = 0 49k + 7k2 = 0 Factor out the Greatest Common Factor (GCF), '7k'. 7k(7 + k) = 0 Ignore the factor 7.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 '(7 + k)' equal to zero and attempt to solve: Simplifying 7 + k = 0 Solving 7 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + k = 0 + -7 k = 0 + -7 Combine like terms: 0 + -7 = -7 k = -7 Simplifying k = -7Solution
k = {0, -7}
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