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Simplifying 7k2 + -67k + -30 = 0 Reorder the terms: -30 + -67k + 7k2 = 0 Solving -30 + -67k + 7k2 = 0 Solving for variable 'k'. Factor a trinomial. (-3 + -7k)(10 + -1k) = 0Subproblem 1
Set the factor '(-3 + -7k)' equal to zero and attempt to solve: Simplifying -3 + -7k = 0 Solving -3 + -7k = 0 Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -7k = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7k = 0 + 3 -7k = 0 + 3 Combine like terms: 0 + 3 = 3 -7k = 3 Divide each side by '-7'. k = -0.4285714286 Simplifying k = -0.4285714286Subproblem 2
Set the factor '(10 + -1k)' equal to zero and attempt to solve: Simplifying 10 + -1k = 0 Solving 10 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1k = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1k = 0 + -10 -1k = 0 + -10 Combine like terms: 0 + -10 = -10 -1k = -10 Divide each side by '-1'. k = 10 Simplifying k = 10Solution
k = {-0.4285714286, 10}
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