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Simplifying 5k2 + 22k = -21 Reorder the terms: 22k + 5k2 = -21 Solving 22k + 5k2 = -21 Solving for variable 'k'. Reorder the terms: 21 + 22k + 5k2 = -21 + 21 Combine like terms: -21 + 21 = 0 21 + 22k + 5k2 = 0 Factor a trinomial. (3 + k)(7 + 5k) = 0Subproblem 1
Set the factor '(3 + k)' equal to zero and attempt to solve: Simplifying 3 + k = 0 Solving 3 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + k = 0 + -3 k = 0 + -3 Combine like terms: 0 + -3 = -3 k = -3 Simplifying k = -3Subproblem 2
Set the factor '(7 + 5k)' equal to zero and attempt to solve: Simplifying 7 + 5k = 0 Solving 7 + 5k = 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 + 5k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5k = 0 + -7 5k = 0 + -7 Combine like terms: 0 + -7 = -7 5k = -7 Divide each side by '5'. k = -1.4 Simplifying k = -1.4Solution
k = {-3, -1.4}
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