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Simplifying 4k2 + -65 = 7k Reorder the terms: -65 + 4k2 = 7k Solving -65 + 4k2 = 7k Solving for variable 'k'. Reorder the terms: -65 + -7k + 4k2 = 7k + -7k Combine like terms: 7k + -7k = 0 -65 + -7k + 4k2 = 0 Factor a trinomial. (-13 + -4k)(5 + -1k) = 0Subproblem 1
Set the factor '(-13 + -4k)' equal to zero and attempt to solve: Simplifying -13 + -4k = 0 Solving -13 + -4k = 0 Move all terms containing k to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -4k = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -4k = 0 + 13 -4k = 0 + 13 Combine like terms: 0 + 13 = 13 -4k = 13 Divide each side by '-4'. k = -3.25 Simplifying k = -3.25Subproblem 2
Set the factor '(5 + -1k)' equal to zero and attempt to solve: Simplifying 5 + -1k = 0 Solving 5 + -1k = 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 + -1k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1k = 0 + -5 -1k = 0 + -5 Combine like terms: 0 + -5 = -5 -1k = -5 Divide each side by '-1'. k = 5 Simplifying k = 5Solution
k = {-3.25, 5}
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