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Simplifying 196k2 + -280k + 100 = 0 Reorder the terms: 100 + -280k + 196k2 = 0 Solving 100 + -280k + 196k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '4'. 4(25 + -70k + 49k2) = 0 Factor a trinomial. 4((5 + -7k)(5 + -7k)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(5 + -7k)' equal to zero and attempt to solve: Simplifying 5 + -7k = 0 Solving 5 + -7k = 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 + -7k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7k = 0 + -5 -7k = 0 + -5 Combine like terms: 0 + -5 = -5 -7k = -5 Divide each side by '-7'. k = 0.7142857143 Simplifying k = 0.7142857143Subproblem 2
Set the factor '(5 + -7k)' equal to zero and attempt to solve: Simplifying 5 + -7k = 0 Solving 5 + -7k = 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 + -7k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7k = 0 + -5 -7k = 0 + -5 Combine like terms: 0 + -5 = -5 -7k = -5 Divide each side by '-7'. k = 0.7142857143 Simplifying k = 0.7142857143Solution
k = {0.7142857143, 0.7142857143}
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