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Simplifying 25k2 + -210k + 245 = 0 Reorder the terms: 245 + -210k + 25k2 = 0 Solving 245 + -210k + 25k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '5'. 5(49 + -42k + 5k2) = 0 Factor a trinomial. 5((7 + -5k)(7 + -1k)) = 0 Ignore the factor 5.Subproblem 1
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 = 1.4Subproblem 2
Set the factor '(7 + -1k)' equal to zero and attempt to solve: Simplifying 7 + -1k = 0 Solving 7 + -1k = 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 + -1k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1k = 0 + -7 -1k = 0 + -7 Combine like terms: 0 + -7 = -7 -1k = -7 Divide each side by '-1'. k = 7 Simplifying k = 7Solution
k = {1.4, 7}
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