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Simplifying 6k2 + -7k = 124 Reorder the terms: -7k + 6k2 = 124 Solving -7k + 6k2 = 124 Solving for variable 'k'. Reorder the terms: -124 + -7k + 6k2 = 124 + -124 Combine like terms: 124 + -124 = 0 -124 + -7k + 6k2 = 0 Factor a trinomial. (-4 + -1k)(31 + -6k) = 0Subproblem 1
Set the factor '(-4 + -1k)' equal to zero and attempt to solve: Simplifying -4 + -1k = 0 Solving -4 + -1k = 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 + -1k = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1k = 0 + 4 -1k = 0 + 4 Combine like terms: 0 + 4 = 4 -1k = 4 Divide each side by '-1'. k = -4 Simplifying k = -4Subproblem 2
Set the factor '(31 + -6k)' equal to zero and attempt to solve: Simplifying 31 + -6k = 0 Solving 31 + -6k = 0 Move all terms containing k to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -6k = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -6k = 0 + -31 -6k = 0 + -31 Combine like terms: 0 + -31 = -31 -6k = -31 Divide each side by '-6'. k = 5.166666667 Simplifying k = 5.166666667Solution
k = {-4, 5.166666667}
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