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Simplifying 9k2 = -9k + 28 Reorder the terms: 9k2 = 28 + -9k Solving 9k2 = 28 + -9k Solving for variable 'k'. Reorder the terms: -28 + 9k + 9k2 = 28 + -9k + -28 + 9k Reorder the terms: -28 + 9k + 9k2 = 28 + -28 + -9k + 9k Combine like terms: 28 + -28 = 0 -28 + 9k + 9k2 = 0 + -9k + 9k -28 + 9k + 9k2 = -9k + 9k Combine like terms: -9k + 9k = 0 -28 + 9k + 9k2 = 0 Factor a trinomial. (-7 + -3k)(4 + -3k) = 0Subproblem 1
Set the factor '(-7 + -3k)' equal to zero and attempt to solve: Simplifying -7 + -3k = 0 Solving -7 + -3k = 0 Move all terms containing k to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3k = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3k = 0 + 7 -3k = 0 + 7 Combine like terms: 0 + 7 = 7 -3k = 7 Divide each side by '-3'. k = -2.333333333 Simplifying k = -2.333333333Subproblem 2
Set the factor '(4 + -3k)' equal to zero and attempt to solve: Simplifying 4 + -3k = 0 Solving 4 + -3k = 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 + -3k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3k = 0 + -4 -3k = 0 + -4 Combine like terms: 0 + -4 = -4 -3k = -4 Divide each side by '-3'. k = 1.333333333 Simplifying k = 1.333333333Solution
k = {-2.333333333, 1.333333333}
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