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Simplifying 5k2 = -3 + -16k Solving 5k2 = -3 + -16k Solving for variable 'k'. Reorder the terms: 3 + 16k + 5k2 = -3 + -16k + 3 + 16k Reorder the terms: 3 + 16k + 5k2 = -3 + 3 + -16k + 16k Combine like terms: -3 + 3 = 0 3 + 16k + 5k2 = 0 + -16k + 16k 3 + 16k + 5k2 = -16k + 16k Combine like terms: -16k + 16k = 0 3 + 16k + 5k2 = 0 Factor a trinomial. (3 + k)(1 + 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 '(1 + 5k)' equal to zero and attempt to solve: Simplifying 1 + 5k = 0 Solving 1 + 5k = 0 Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5k = 0 + -1 5k = 0 + -1 Combine like terms: 0 + -1 = -1 5k = -1 Divide each side by '5'. k = -0.2 Simplifying k = -0.2Solution
k = {-3, -0.2}
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