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Simplifying -16k2 + 256k + 3600 = 0 Reorder the terms: 3600 + 256k + -16k2 = 0 Solving 3600 + 256k + -16k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '16'. 16(225 + 16k + -1k2) = 0 Factor a trinomial. 16((25 + -1k)(9 + k)) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(25 + -1k)' equal to zero and attempt to solve: Simplifying 25 + -1k = 0 Solving 25 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1k = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1k = 0 + -25 -1k = 0 + -25 Combine like terms: 0 + -25 = -25 -1k = -25 Divide each side by '-1'. k = 25 Simplifying k = 25Subproblem 2
Set the factor '(9 + k)' equal to zero and attempt to solve: Simplifying 9 + k = 0 Solving 9 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + k = 0 + -9 k = 0 + -9 Combine like terms: 0 + -9 = -9 k = -9 Simplifying k = -9Solution
k = {25, -9}
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