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Simplifying k2 = 12k + -32 Reorder the terms: k2 = -32 + 12k Solving k2 = -32 + 12k Solving for variable 'k'. Reorder the terms: 32 + -12k + k2 = -32 + 12k + 32 + -12k Reorder the terms: 32 + -12k + k2 = -32 + 32 + 12k + -12k Combine like terms: -32 + 32 = 0 32 + -12k + k2 = 0 + 12k + -12k 32 + -12k + k2 = 12k + -12k Combine like terms: 12k + -12k = 0 32 + -12k + k2 = 0 Factor a trinomial. (4 + -1k)(8 + -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 '(8 + -1k)' equal to zero and attempt to solve: Simplifying 8 + -1k = 0 Solving 8 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1k = 0 + -8 -1k = 0 + -8 Combine like terms: 0 + -8 = -8 -1k = -8 Divide each side by '-1'. k = 8 Simplifying k = 8Solution
k = {4, 8}
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