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Simplifying 49k2 + 21k + -4 = 0 Reorder the terms: -4 + 21k + 49k2 = 0 Solving -4 + 21k + 49k2 = 0 Solving for variable 'k'. Factor a trinomial. (-4 + -7k)(1 + -7k) = 0Subproblem 1
Set the factor '(-4 + -7k)' equal to zero and attempt to solve: Simplifying -4 + -7k = 0 Solving -4 + -7k = 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 + -7k = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7k = 0 + 4 -7k = 0 + 4 Combine like terms: 0 + 4 = 4 -7k = 4 Divide each side by '-7'. k = -0.5714285714 Simplifying k = -0.5714285714Subproblem 2
Set the factor '(1 + -7k)' equal to zero and attempt to solve: Simplifying 1 + -7k = 0 Solving 1 + -7k = 0 Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7k = 0 + -1 -7k = 0 + -1 Combine like terms: 0 + -1 = -1 -7k = -1 Divide each side by '-7'. k = 0.1428571429 Simplifying k = 0.1428571429Solution
k = {-0.5714285714, 0.1428571429}
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