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Simplifying 10k2 + -27k + -28 = 0 Reorder the terms: -28 + -27k + 10k2 = 0 Solving -28 + -27k + 10k2 = 0 Solving for variable 'k'. Factor a trinomial. (-4 + -5k)(7 + -2k) = 0Subproblem 1
Set the factor '(-4 + -5k)' equal to zero and attempt to solve: Simplifying -4 + -5k = 0 Solving -4 + -5k = 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 + -5k = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5k = 0 + 4 -5k = 0 + 4 Combine like terms: 0 + 4 = 4 -5k = 4 Divide each side by '-5'. k = -0.8 Simplifying k = -0.8Subproblem 2
Set the factor '(7 + -2k)' equal to zero and attempt to solve: Simplifying 7 + -2k = 0 Solving 7 + -2k = 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 + -2k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2k = 0 + -7 -2k = 0 + -7 Combine like terms: 0 + -7 = -7 -2k = -7 Divide each side by '-2'. k = 3.5 Simplifying k = 3.5Solution
k = {-0.8, 3.5}
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