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Simplifying k2 = 14k + -49 Reorder the terms: k2 = -49 + 14k Solving k2 = -49 + 14k Solving for variable 'k'. Reorder the terms: 49 + -14k + k2 = -49 + 14k + 49 + -14k Reorder the terms: 49 + -14k + k2 = -49 + 49 + 14k + -14k Combine like terms: -49 + 49 = 0 49 + -14k + k2 = 0 + 14k + -14k 49 + -14k + k2 = 14k + -14k Combine like terms: 14k + -14k = 0 49 + -14k + k2 = 0 Factor a trinomial. (7 + -1k)(7 + -1k) = 0Subproblem 1
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 = 7Subproblem 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 = {7, 7}
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