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Simplifying 5k2 + 35 = -32k Reorder the terms: 35 + 5k2 = -32k Solving 35 + 5k2 = -32k Solving for variable 'k'. Reorder the terms: 35 + 32k + 5k2 = -32k + 32k Combine like terms: -32k + 32k = 0 35 + 32k + 5k2 = 0 Factor a trinomial. (5 + k)(7 + 5k) = 0Subproblem 1
Set the factor '(5 + k)' equal to zero and attempt to solve: Simplifying 5 + k = 0 Solving 5 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + k = 0 + -5 k = 0 + -5 Combine like terms: 0 + -5 = -5 k = -5 Simplifying k = -5Subproblem 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 = {-5, -1.4}
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