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Simplifying 7k2 + 74k + 40 = 0 Reorder the terms: 40 + 74k + 7k2 = 0 Solving 40 + 74k + 7k2 = 0 Solving for variable 'k'. Factor a trinomial. (10 + k)(4 + 7k) = 0Subproblem 1
Set the factor '(10 + k)' equal to zero and attempt to solve: Simplifying 10 + k = 0 Solving 10 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + k = 0 + -10 Combine like terms: 10 + -10 = 0 0 + k = 0 + -10 k = 0 + -10 Combine like terms: 0 + -10 = -10 k = -10 Simplifying k = -10Subproblem 2
Set the factor '(4 + 7k)' equal to zero and attempt to solve: Simplifying 4 + 7k = 0 Solving 4 + 7k = 0 Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7k = 0 + -4 7k = 0 + -4 Combine like terms: 0 + -4 = -4 7k = -4 Divide each side by '7'. k = -0.5714285714 Simplifying k = -0.5714285714Solution
k = {-10, -0.5714285714}
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