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Simplifying 6k2 + -49k + 49 = 0 Reorder the terms: 49 + -49k + 6k2 = 0 Solving 49 + -49k + 6k2 = 0 Solving for variable 'k'. Factor a trinomial. (7 + -6k)(7 + -1k) = 0Subproblem 1
Set the factor '(7 + -6k)' equal to zero and attempt to solve: Simplifying 7 + -6k = 0 Solving 7 + -6k = 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 + -6k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6k = 0 + -7 -6k = 0 + -7 Combine like terms: 0 + -7 = -7 -6k = -7 Divide each side by '-6'. k = 1.166666667 Simplifying k = 1.166666667Subproblem 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 = {1.166666667, 7}
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