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Simplifying 25k2 + -25k + -14 = 0 Reorder the terms: -14 + -25k + 25k2 = 0 Solving -14 + -25k + 25k2 = 0 Solving for variable 'k'. Factor a trinomial. (-2 + -5k)(7 + -5k) = 0Subproblem 1
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 = -0.4Subproblem 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 = {-0.4, 1.4}
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