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Simplifying 3k2 + 25k + -50 = 0 Reorder the terms: -50 + 25k + 3k2 = 0 Solving -50 + 25k + 3k2 = 0 Solving for variable 'k'. Factor a trinomial. (-10 + -1k)(5 + -3k) = 0Subproblem 1
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 = -10Subproblem 2
Set the factor '(5 + -3k)' equal to zero and attempt to solve: Simplifying 5 + -3k = 0 Solving 5 + -3k = 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 + -3k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3k = 0 + -5 -3k = 0 + -5 Combine like terms: 0 + -5 = -5 -3k = -5 Divide each side by '-3'. k = 1.666666667 Simplifying k = 1.666666667Solution
k = {-10, 1.666666667}
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