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Simplifying -36k2 + 117k = 90 Reorder the terms: 117k + -36k2 = 90 Solving 117k + -36k2 = 90 Solving for variable 'k'. Reorder the terms: -90 + 117k + -36k2 = 90 + -90 Combine like terms: 90 + -90 = 0 -90 + 117k + -36k2 = 0 Factor out the Greatest Common Factor (GCF), '9'. 9(-10 + 13k + -4k2) = 0 Factor a trinomial. 9((-2 + k)(5 + -4k)) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(-2 + k)' equal to zero and attempt to solve: Simplifying -2 + k = 0 Solving -2 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + k = 0 + 2 Combine like terms: -2 + 2 = 0 0 + k = 0 + 2 k = 0 + 2 Combine like terms: 0 + 2 = 2 k = 2 Simplifying k = 2Subproblem 2
Set the factor '(5 + -4k)' equal to zero and attempt to solve: Simplifying 5 + -4k = 0 Solving 5 + -4k = 0 Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4k = 0 + -5 -4k = 0 + -5 Combine like terms: 0 + -5 = -5 -4k = -5 Divide each side by '-4'. k = 1.25 Simplifying k = 1.25Solution
k = {2, 1.25}
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