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Simplifying 5k2 + -4k = 96 Reorder the terms: -4k + 5k2 = 96 Solving -4k + 5k2 = 96 Solving for variable 'k'. Reorder the terms: -96 + -4k + 5k2 = 96 + -96 Combine like terms: 96 + -96 = 0 -96 + -4k + 5k2 = 0 Factor a trinomial. (-4 + -1k)(24 + -5k) = 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 '(24 + -5k)' equal to zero and attempt to solve: Simplifying 24 + -5k = 0 Solving 24 + -5k = 0 Move all terms containing k to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -5k = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -5k = 0 + -24 -5k = 0 + -24 Combine like terms: 0 + -24 = -24 -5k = -24 Divide each side by '-5'. k = 4.8 Simplifying k = 4.8Solution
k = {-4, 4.8}
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