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Simplifying 2k2 + 21k + 49 = 0 Reorder the terms: 49 + 21k + 2k2 = 0 Solving 49 + 21k + 2k2 = 0 Solving for variable 'k'. Factor a trinomial. (7 + k)(7 + 2k) = 0Subproblem 1
Set the factor '(7 + k)' equal to zero and attempt to solve: Simplifying 7 + k = 0 Solving 7 + k = 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 + k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + k = 0 + -7 k = 0 + -7 Combine like terms: 0 + -7 = -7 k = -7 Simplifying k = -7Subproblem 2
Set the factor '(7 + 2k)' equal to zero and attempt to solve: Simplifying 7 + 2k = 0 Solving 7 + 2k = 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 + 2k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2k = 0 + -7 2k = 0 + -7 Combine like terms: 0 + -7 = -7 2k = -7 Divide each side by '2'. k = -3.5 Simplifying k = -3.5Solution
k = {-7, -3.5}
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