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Simplifying 5k2 + 6k = 104 Reorder the terms: 6k + 5k2 = 104 Solving 6k + 5k2 = 104 Solving for variable 'k'. Reorder the terms: -104 + 6k + 5k2 = 104 + -104 Combine like terms: 104 + -104 = 0 -104 + 6k + 5k2 = 0 Factor a trinomial. (-26 + -5k)(4 + -1k) = 0Subproblem 1
Set the factor '(-26 + -5k)' equal to zero and attempt to solve: Simplifying -26 + -5k = 0 Solving -26 + -5k = 0 Move all terms containing k to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + -5k = 0 + 26 Combine like terms: -26 + 26 = 0 0 + -5k = 0 + 26 -5k = 0 + 26 Combine like terms: 0 + 26 = 26 -5k = 26 Divide each side by '-5'. k = -5.2 Simplifying k = -5.2Subproblem 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 = {-5.2, 4}
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