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Simplifying 49k2 + 4 = -28k Reorder the terms: 4 + 49k2 = -28k Solving 4 + 49k2 = -28k Solving for variable 'k'. Reorder the terms: 4 + 28k + 49k2 = -28k + 28k Combine like terms: -28k + 28k = 0 4 + 28k + 49k2 = 0 Factor a trinomial. (2 + 7k)(2 + 7k) = 0Subproblem 1
Set the factor '(2 + 7k)' equal to zero and attempt to solve: Simplifying 2 + 7k = 0 Solving 2 + 7k = 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 + 7k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7k = 0 + -2 7k = 0 + -2 Combine like terms: 0 + -2 = -2 7k = -2 Divide each side by '7'. k = -0.2857142857 Simplifying k = -0.2857142857Subproblem 2
Set the factor '(2 + 7k)' equal to zero and attempt to solve: Simplifying 2 + 7k = 0 Solving 2 + 7k = 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 + 7k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7k = 0 + -2 7k = 0 + -2 Combine like terms: 0 + -2 = -2 7k = -2 Divide each side by '7'. k = -0.2857142857 Simplifying k = -0.2857142857Solution
k = {-0.2857142857, -0.2857142857}
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