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Simplifying 5k2 + 37k + 14 = 0 Reorder the terms: 14 + 37k + 5k2 = 0 Solving 14 + 37k + 5k2 = 0 Solving for variable 'k'. Factor a trinomial. (7 + k)(2 + 5k) = 0Subproblem 1
Set the factor '(7 + k)' equal to zero and attempt to solve: Simplifying 7 + k = 0 Solving 7 + k = 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 + k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + k = 0 + -7 k = 0 + -7 Combine like terms: 0 + -7 = -7 k = -7 Simplifying k = -7Subproblem 2
Set the factor '(2 + 5k)' equal to zero and attempt to solve: Simplifying 2 + 5k = 0 Solving 2 + 5k = 0 Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5k = 0 + -2 5k = 0 + -2 Combine like terms: 0 + -2 = -2 5k = -2 Divide each side by '5'. k = -0.4 Simplifying k = -0.4Solution
k = {-7, -0.4}
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