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Simplifying 49k2 + 16k = 0 Reorder the terms: 16k + 49k2 = 0 Solving 16k + 49k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), 'k'. k(16 + 49k) = 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 '(16 + 49k)' equal to zero and attempt to solve: Simplifying 16 + 49k = 0 Solving 16 + 49k = 0 Move all terms containing k to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 49k = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 49k = 0 + -16 49k = 0 + -16 Combine like terms: 0 + -16 = -16 49k = -16 Divide each side by '49'. k = -0.3265306122 Simplifying k = -0.3265306122Solution
k = {0, -0.3265306122}
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