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Simplifying 4k2 + -68k + 64 = 0 Reorder the terms: 64 + -68k + 4k2 = 0 Solving 64 + -68k + 4k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '4'. 4(16 + -17k + k2) = 0 Factor a trinomial. 4((1 + -1k)(16 + -1k)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + -1k)' equal to zero and attempt to solve: Simplifying 1 + -1k = 0 Solving 1 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1k = 0 + -1 -1k = 0 + -1 Combine like terms: 0 + -1 = -1 -1k = -1 Divide each side by '-1'. k = 1 Simplifying k = 1Subproblem 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 = {1, 16}
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