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Simplifying (2k + 7)(2k + 7) = 0 Reorder the terms: (7 + 2k)(2k + 7) = 0 Reorder the terms: (7 + 2k)(7 + 2k) = 0 Multiply (7 + 2k) * (7 + 2k) (7(7 + 2k) + 2k * (7 + 2k)) = 0 ((7 * 7 + 2k * 7) + 2k * (7 + 2k)) = 0 ((49 + 14k) + 2k * (7 + 2k)) = 0 (49 + 14k + (7 * 2k + 2k * 2k)) = 0 (49 + 14k + (14k + 4k2)) = 0 Combine like terms: 14k + 14k = 28k (49 + 28k + 4k2) = 0 Solving 49 + 28k + 4k2 = 0 Solving for variable 'k'. Factor a trinomial. (7 + 2k)(7 + 2k) = 0Subproblem 1
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 = -3.5Subproblem 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 = {-3.5, -3.5}
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