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Simplifying 11k2 + 66k = 440 Reorder the terms: 66k + 11k2 = 440 Solving 66k + 11k2 = 440 Solving for variable 'k'. Reorder the terms: -440 + 66k + 11k2 = 440 + -440 Combine like terms: 440 + -440 = 0 -440 + 66k + 11k2 = 0 Factor out the Greatest Common Factor (GCF), '11'. 11(-40 + 6k + k2) = 0 Factor a trinomial. 11((-10 + -1k)(4 + -1k)) = 0 Ignore the factor 11.Subproblem 1
Set the factor '(-10 + -1k)' equal to zero and attempt to solve: Simplifying -10 + -1k = 0 Solving -10 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1k = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1k = 0 + 10 -1k = 0 + 10 Combine like terms: 0 + 10 = 10 -1k = 10 Divide each side by '-1'. k = -10 Simplifying k = -10Subproblem 2
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 = 4Solution
k = {-10, 4}
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