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Simplifying k2 + -20k + 64 = 0 Reorder the terms: 64 + -20k + k2 = 0 Solving 64 + -20k + k2 = 0 Solving for variable 'k'. Factor a trinomial. (4 + -1k)(16 + -1k) = 0Subproblem 1
Set the factor '(4 + -1k)' equal to zero and attempt to solve: Simplifying 4 + -1k = 0 Solving 4 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1k = 0 + -4 -1k = 0 + -4 Combine like terms: 0 + -4 = -4 -1k = -4 Divide each side by '-1'. k = 4 Simplifying k = 4Subproblem 2
Set the factor '(16 + -1k)' equal to zero and attempt to solve: Simplifying 16 + -1k = 0 Solving 16 + -1k = 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 + -1k = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1k = 0 + -16 -1k = 0 + -16 Combine like terms: 0 + -16 = -16 -1k = -16 Divide each side by '-1'. k = 16 Simplifying k = 16Solution
k = {4, 16}
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