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Simplifying k2 = 3k + 28 Reorder the terms: k2 = 28 + 3k Solving k2 = 28 + 3k Solving for variable 'k'. Reorder the terms: -28 + -3k + k2 = 28 + 3k + -28 + -3k Reorder the terms: -28 + -3k + k2 = 28 + -28 + 3k + -3k Combine like terms: 28 + -28 = 0 -28 + -3k + k2 = 0 + 3k + -3k -28 + -3k + k2 = 3k + -3k Combine like terms: 3k + -3k = 0 -28 + -3k + k2 = 0 Factor a trinomial. (-4 + -1k)(7 + -1k) = 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 '(7 + -1k)' equal to zero and attempt to solve: Simplifying 7 + -1k = 0 Solving 7 + -1k = 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 + -1k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1k = 0 + -7 -1k = 0 + -7 Combine like terms: 0 + -7 = -7 -1k = -7 Divide each side by '-1'. k = 7 Simplifying k = 7Solution
k = {-4, 7}
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