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Simplifying 5k2 + 27k + 10 = 0 Reorder the terms: 10 + 27k + 5k2 = 0 Solving 10 + 27k + 5k2 = 0 Solving for variable 'k'. Factor a trinomial. (5 + k)(2 + 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 '(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 = {-5, -0.4}
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