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Simplifying 7k2 + 58k + -45 = 0 Reorder the terms: -45 + 58k + 7k2 = 0 Solving -45 + 58k + 7k2 = 0 Solving for variable 'k'. Factor a trinomial. (-9 + -1k)(5 + -7k) = 0Subproblem 1
Set the factor '(-9 + -1k)' equal to zero and attempt to solve: Simplifying -9 + -1k = 0 Solving -9 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1k = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1k = 0 + 9 -1k = 0 + 9 Combine like terms: 0 + 9 = 9 -1k = 9 Divide each side by '-1'. k = -9 Simplifying k = -9Subproblem 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 = {-9, 0.7142857143}
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