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Simplifying 35k2 + 24k + -35 = 0 Reorder the terms: -35 + 24k + 35k2 = 0 Solving -35 + 24k + 35k2 = 0 Solving for variable 'k'. Factor a trinomial. (-7 + -5k)(5 + -7k) = 0Subproblem 1
Set the factor '(-7 + -5k)' equal to zero and attempt to solve: Simplifying -7 + -5k = 0 Solving -7 + -5k = 0 Move all terms containing k to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -5k = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5k = 0 + 7 -5k = 0 + 7 Combine like terms: 0 + 7 = 7 -5k = 7 Divide each side by '-5'. k = -1.4 Simplifying k = -1.4Subproblem 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 = {-1.4, 0.7142857143}
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